几何
三角形、圆、解析几何与证明题。
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use the figures to determine whether the indicated lines are parallel. …
D. Yes, because alternate exterior angles are \( 36^\circ \).
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8. détermine lexpression algébrique qui représente le périmètre de chac…
\( 2(a + b) \) (ou \( 2a + 2b \)) ### Partie (b)
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in the diagram, lines j and k are parallel and are intersected by trans…
# Explanation: ## Step1: Identify Similar Triangles Since lines \( j \) and \( k \) are parallel, triangles \( \triangle LPM \) and \( \triangle QPT \) are similar by the Basic Pr…
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two parallel lines are crossed by a transversal. what is the value of y…
\(y = 80\) (corresponding to the option \(y = 80\))
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if ( x^circ ) and ( (17x + 18)^circ ) are the measures of complementary…
The measure of \(x^\circ\) is \(4^\circ\). The measure of \((17x + 18)^\circ\) is \(86^\circ\).
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two parallel lines are crossed by a transversal. what is the value of d…
\( d = 125 \) (corresponding option: \( d = 125 \))
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find the measure of a complementary angle, a supplementary angle, and a…
\( y \)
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if fg = 2 units, fi = 7 units, and hi = 1 unit, what is gh? 3 units 4 u…
4 units
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find the measure of a complementary angle, a supplementary angle, and a…
\(180 - y\)
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what is the area of a circular region whose diameter is 6 centimeters? …
D. \(9\pi\) square cm
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a hollow hemisphere is half of a sphere with a hollow center. there are…
B. $54.5\ \text{cm}^3$
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line jm intersects line gk at point n. which statements are true about …
B. \(\angle MNL\) is complementary to \(\angle KNL\) E. \(\angle GNM\) is supplementary to \(\angle JNK\) (Note: Assuming the options are labeled as A: \(\angle GNJ\) complementar…
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what is the area of a right triangle 6 centimeters high with a base of …
B. 6 square cm
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in the diagram, ce=12 units and be=5 units. based on the given informat…
12 units
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8. détermine lexpression algébrique qui représente le périmètre de chac…
Le périmètre de la figure (rectangle) est \( 2a + 2b \) (ou \( 2(a + b) \)).
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triangles abc and dec, graphed on the coordinate plane, are similar tri…
- First dropdown: dilation (already selected, but for the side dropdown) - Side dropdown: proportional
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given that $overrightarrow{eb}$ bisects $angle cea$, which statements m…
- \( m\angle CEA = 90^\circ\) - \( \angle CEF\) is a straight angle. - \( \angle AEF\) is a right angle.
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what is the length of side x on the right triangle below? image of righ…
D. \(\sqrt{7}\)
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which undefined geometric term is described as an infinite set of point…
B. line
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triangles abc and dec, graphed on the coordinate plane, are similar tri…
For the angle dropdown: congruent; For the side dropdown: proportional.
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find the measure of a complementary angle, a supplementary angle, and a…
\(90 - y\)
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what is the angle of rotational symmetry for this figure? a 30° b 45° c…
C. $90^\circ$
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figure jklm is a rectangle, so m∠kjm = m∠klm = 90° and ∠kjc ≅ ∠mlc. whi…
A. Angles that are congruent are complementary to the same angle.
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triangles abc and dec, graphed on the coordinate plane, are similar tri…
First dropdown: dilation Second (center): origin (implied, as dilation centered at origin here) Third dropdown: equal Fourth dropdown: proportional
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the diagram shows $\\triangle jlp$. • point $k$ is the midpoint of $\\o…
B. \( \overline{PM} \) is congruent to \( \overline{LM} \) E. When a median is drawn through point \( Q \), it must intersect \( \overline{PK} \) and \( \overline{JM} \) at point …
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identify the measure of a supplementary angle of ( m(angle a) = 22^circ…
\( 22 \)
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find the measure of a complementary angle, a supplementary angle, and a…
\(158\)
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this diagram shows how a regular polygon inscribed in a circle changes …
C. The area of the polygon approaches the area of the circle. D. The perimeter of the polygon approaches the circumference of the circle. E. The height of the triangle approaches …
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find the measure of a complementary angle, a supplementary angle, and a…
\(68\)
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for circle q shown, ∠kqm is a central angle, and ∠kpm is a circumscribe…
A. \( \overline{PM} \perp \overline{QM} \) B. \( m\angle KPM + m\angle KQM = 180^\circ \) E. \( \overline{PK} \cong \overline{PM} \)
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a regular pentagon is shown. describe the rotations and the reflections…
- A rotation about the center carries the regular pentagon onto itself if and only if the rotation is a multiple of \( \boldsymbol{72^\circ} \). - A reflection carries the regular…
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a cube with edge lengths of x units can be deconstructed into 6 pyramid…
B. \( V=\frac{1}{6}x^{3}=\frac{1}{3}hx^{2} \), where \( h = \frac{x}{2} \)
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15. the right triangle has the listed measures. what is the length of t…
The length of the opposite side is $5\sqrt{3}$ inches (or approximately $8.66$ inches).
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right triangles hjk and xyz, shown in the diagram, are similar. diagram…
A. \(\frac{10}{6}=\frac{HK}{XZ}\), \(\frac{10}{HK}=\frac{6}{XZ}\), \(\sin H = \sin X\)
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circle j has a center of (10, -3) and a radius of 9 units. circle k has…
C. \(\sqrt{(-3 - 12)^{2}+(10 - 2)^{2}}-9\)
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quadrilateral defg is inscribed in circle h. what is the relationship b…
\(m\angle D + m\angle F = 180^\circ\) (the option with this equation)
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part c: practice with shapes 1. plot and connect a(2, 3), b(5, 3), c(5,…
- After translation: \(A(-2,2)\), \(B(1,2)\), \(C(1,5)\), \(D(-2,5)\) - After reflection: \(A(2,2)\), \(B(-1,2)\), \(C(-1,5)\), \(D(2,5)\) - After rotation: \(A(2,-2)\), \(B(2,1)\…
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dimensional analysis maze directions: use the chart below to help you m…
To solve the Dimensional Analysis Maze, we'll go step by step, using the conversion factors provided. Let's start from the **START** and move towards the **END**. ### Step 1: Star…
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which of the following statements are true? select all that apply. diag…
B. $m\angle 1 + m\angle 3 = 180^\circ$ because they form a straight angle, C. $\angle 3 \cong \angle 6$ because they are alternate interior angles
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9. trapezoid efgh is dilated with the origin as the center of dilation …
Scale Factor: \(2\), Algebraic Rule: \((x,y)\to(2x,2y)\), Type: Enlargement
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6. plot p(0, 7) and q(-8, 0). which axis is each point on?
Point \(P(0,7)\) is on the \(y\)-axis, and point \(Q(-8,0)\) is on the \(x\)-axis.
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group practice worksheet: transformations in the coordinate plane part …
### Part A: Quick Review 1. **Translation**: ## Step1: Recall translation rule For a translation, moving right/left affects the \(x\)-coordinate (right is \(+\), left is \(-\)) an…
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identify two segments that are marked congruent to each other on the di…
\( AB \) is congruent to \( DC \) (or \( AD \) is congruent to \( BC \))
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5. rectangle klmn is dilated with the origin as the center of dilation …
Scale Factor: \( 2 \) Algebraic Rule: \( (x, y) \to (2x, 2y) \) Enlargement or Reduction: Enlargement
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given: m||n prove: ∠1 ≅ ∠2 (diagram of two parallel lines m, n cut by a…
2) Corresponding Angles Postulate 3) Vertical Angles Theorem 4) Transitive Property of Congruence
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gráficas y funciones marcar un punto en el plano de coordenadas usa el …
To mark the point \((3, -1)\): 1. Start at the origin \((0,0)\). 2. Move 3 units **right** along the \(x\)-axis (since \(x = 3\), positive \(x\)-direction). 3. From that \(x\)-pos…
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identify a pair of segments that are marked perpendicular to each other…
\( BD \) is perpendicular to \( EC \) (or \( EC \) is perpendicular to \( BD \))
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the diagram below is a right rectangular prism. all the angles shown me…
are parallel
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solve and graph (2x + 4 geq 24)
The solution to the inequality \( 2x + 4 \geq 24 \) is \( x \geq 10 \). To graph this, we draw a number line, place a closed circle at 10 (since the inequality is "greater than or…
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the diagram below is a right rectangular prism. all the angles shown me…
\(AE\) and \(CG\) (or \(AB\) and \(EH\), etc. Any valid pair of skew segments in the prism)
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statue a company is making different size statues that are in the shape…
\(51\)
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f(x) = \\begin{cases} -x - 9 & \\text{for} & x \\leq -4 \\\\ x - 5 & \\…
To graph the piecewise function \( f(x) \), we analyze each piece: ### Step 1: Graph \( f(x) = -x - 9 \) for \( x \leq -4 \) - This is a linear function with slope \( -1 \) and y-…
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factors and multiples sheet 4:1 1) circle the numbers below which are m…
Circle 32, 28, 44 ### Question 2
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the diagram below is an oblique, or slanted, rectangular prism. not all…
are parallel
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7. employees of a landscaping company built a retaining wall with area …
\( \frac{9}{4} \) (or \( 2\frac{1}{4} \)) ### Part B
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multiples sheet 4:3 a multiple is a number that can be made out of addi…
42 and 48 ### Question 2
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the diagram below is a right rectangular prism. all the angles shown me…
parallel
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name two segments drawn on the diagram below that are skew. notice make…
Two skew segments are \(\boldsymbol{\overline{MP}}\) and \(\boldsymbol{\overline{LK}}\) (other valid pairs like \(\overline{ML}\) and \(\overline{OK}\) are also acceptable as long…
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7. employees of a landscaping company built a retaining wall with area …
\( 2\frac{1}{4} \) (or \( \frac{9}{4} \)) ### Part B
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4. if (overline{ef}) bisects (overline{cd}), (cg = 5x - 1), (gd = 7x - …
\( 19 \)
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13. if b is the midpoint of (overline{ac}), and (ac = 8x - 20), find (b…
\( 26 \)
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35° 70° 45° 1 2 3 (the figure is not to scale.)
\(\angle 1 = 75^\circ\), \(\angle 2 = 105^\circ\), \(\angle 3 = 30^\circ\) (assuming we need to find all three angles; if specific, adjust accordingly)
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(the figure is not to scale.)
\(119^\circ\)
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what are the values of x, y, and z? diagram with angles 66°, 45°, 30°, …
\(x = 51\), \(y = 76\), and \(z = 61\)
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due oct 10 - 7:41 am diagram: two horizontal lines (m, n) cut by a tran…
If we assume we need to find \(x\), \(x = 127^\circ\); if \(y\), \(y = 53^\circ\); if \(z\), \(z = 127^\circ\) (depending on which angle is asked, but based on the diagram, likely…
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problème 4: a) détermine l’aire de la partie ombrée considérant que le …
s: a) The area of the shaded part is \(\boldsymbol{72}\) \( \text{cm}^2 \). b) The perimeter of each white triangle is \(\boldsymbol{16}\) cm.
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3. use the diagram to answer the following questions. a) how many point…
### Part g) # Explanation: ## Step1: Recall plane intersection rule Two planes intersect in a line. We analyze planes \( BCH \) and \( DEF \). ## Step2: Identify common line Plane…
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find the circumference and the area of a circle with diameter 8 m. use …
Circumference: \( 25.12 \, \text{m} \) Area: \( 50.24 \, \text{m}^2 \)
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given the figure below, find the values of x and z. 109° z ° (11x − 78)…
\(x = 17\) \(z = 71\)
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problème 3: détermine l’aire de la figure sachant que la circonférence …
If we use \(\pi\approx3.14\), the area is \(139.52\space cm^{2}\) (or \(240 - 32\pi\space cm^{2}\))
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find the surface area of this rectangular prism. be sure to include the…
\( 142 \) square feet (or \( 142\ \text{ft}^2 \))
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geometry part 2: segment addition (honors) solve for x. 1) u ---3--- t …
\( x = 11 \)
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geometry part 2: segment addition (honors) solve for x. 1) u 3 t x - 1 …
\( x = 11 \) ### Problem 2:
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practice problems the second h - shaped polygon is a scaled copy of the…
- Corresponding points: Let the top - left vertex of the large H - polygon be \(A\) and the top - left vertex of the small H - polygon be \(A'\). - Corresponding sides: - The left…
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find the area of the figure. (sides meet at right angles.)
\(26\)
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problème 2: détermine la longueur de la diagonale.
If we assume the vertical length is 18 cm (ignoring the 5.12 as a typo), the diagonal is \(\sqrt{25^{2}+18^{2}}=\sqrt{949}\approx30.8\) cm. If we consider the 5.12, with \( a = 6 …
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graph the image of δghi (or similar triangle) after the following seque…
To solve the problem of graphing the image of \(\triangle GHJ\) after the given transformations, we first need to identify the coordinates of the vertices of \(\triangle GHJ\). Fr…
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a polygon is regular if each of its sides has the same length. find the…
s: 18. \( x = 2 \), side length = \( 1 \) 19. \( x = 1.5 \), side length = \( 1.5 \)
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problème 1: détermine laire de la figure suivante sachant que son périm…
The area of the figure is \( \boldsymbol{144 + 72\pi} \) \( cm^2 \) (or approximately \( \boldsymbol{370.08} \) \( cm^2 \) if \( \pi\approx3.14 \)).
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graph the image of δghi after the following sequence of transformations…
To solve this, we first need the coordinates of \( \triangle GHI \). From the graph: - Let's assume \( I = (8, -14) \), \( H = (10, -12) \), \( G = (12, -14) \) (since the y - axi…
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graph the image of δxyz after the following sequence of transformations…
To solve this, we first identify the coordinates of the vertices of \(\triangle XYZ\). From the graph: - \(X\): Let's assume the coordinates. Looking at the grid, \(X\) seems to b…
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4.2 assignment in exercises 1-4, graph the point or polygon and its ima…
Let's solve these reflection problems step by step. We'll use the rules for reflecting points over different lines (x - axis, y - axis, \(x = a\), \(y = b\), and \(y=x\)). ### Exe…
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quadrilateral a has side lengths 2, 3, 5, and 6. quadrilateral b has si…
The first "Select Choice" should be "No" and the second "Select Choice" should be "is not" (because for a scaled copy, all side ratios must be equal, and here they aren't, so ther…
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find the measure of each interior angle of a regular octagon. if needed…
\( 135^{\circ} \)
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find the area of the triangle shown below. ( 2\frac{3}{5} ) yd ( 2 ) yd…
The area of the triangle is \( 5 \) square yards (or \( 5\ \text{yd}^2 \)).
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the dimensions of a rectangle are 9x - 9 and 10x. write the simplified …
The simplified expression for the rectangle's perimeter is \( 38x - 18 \).
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a transformation was applied to a circle. the image of the transformati…
The transformation is not a translation because the circles share a center.
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a square with side lengths of 3 cm is reflected vertically over a horiz…
4 ### Second Question: Perpendicular distance from B to reflection line
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date: _______________ bell: ______ homework 3: quiz 1 review directions…
Integers, Rational Numbers, Real Numbers ### Problem 2: $\sqrt{64}$
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a right triangle with angle measures of 30°, 60°, and 90° is reflected …
\( 60 \)
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which pattern was created using only the translation of pentagon a?
The second pattern (the one with four pentagons where two are solid and two are dashed, all with the same orientation as pentagon A)
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in triangle abc, the size of angle b is 4 times the size of angle a, an…
Angle \( A = 19.6^{\circ} \), Angle \( B = 78.4^{\circ} \), Angle \( C = 82^{\circ} \)
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inequalities in triangles in this activity, you will: - order the side …
Since the problem here is about guiding through an activity on triangle inequalities (which falls under Geometry, a subfield of Mathematics) but no specific question with calculat…
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7 multiple choice 5 points the asymmetrical triangle should have- 1 sid…
C. 2 sides that different, but still appear visually balanced ### Question 8
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geometric figure (prism) with labeled dimensions: left side ( \frac{17}…
The area is \( \boxed{9} \) square yards (assuming the figure is a parallelogram with base \( \frac{18}{7} \) yd and height \( \frac{7}{2} \) yd).
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1) rectangular prism diagram ( 1 \frac{2}{3} ) in, ( \frac{1}{4} ) in, …
The volume of the rectangular prism is \( \frac{1}{4} \) cubic inches.
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point c is the midpoint of (overline{ab}) and point b is between points…
\( 10 \)
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if rs = 7, rt = 5, st = 12, and points r, s, and t are collinear, what …
B) Point \( R \) is between point \( S \) and point \( T \).
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proof a city planner is designing a new park. the park has two straight…
First "Select Choice" box: \(\overline{AB}\) (or \(\overline{CD}\)) Second "Select Choice" box: equal
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find the error justin knows that point r is the midpoint of \\(\\overli…
I do not agree with Justin’s reasoning. The Segment Addition Postulate requires the three points (here, \( P \), \( Q \), \( R \)) to be collinear. From the diagram, \( P \), \( Q…