幾何
三角形、圓、解析幾何與證明題。
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find the following measurements. base = 10 units height = 15 units what…
150
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what is the perimeter of the figure below? the curves are circular. 25 …
87.70 meters
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find the following measurements. base = \\square units height = 7 units
base = 10 units height = 15 units
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16. match the lines with their orientation: draggable item \t\t\t\t\t\t…
- $y = -\frac{1}{3}x + 2$ → Perpendicular to $y=3x+1$ - $y = 2x - 4$ → Parallel to $y=2x+3$ - $y = 3x$ → Parallel to $y=3x+1$
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20. select all lines perpendicular to $y = -x + 3$: $y = x - 1$ $y = \\…
A. $y = x - 1$ D. $y = x$
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marcus says the distance between points c(2, 8) and d(2, -3) is 5 units…
Sandra is correct, and Marcus is incorrect. 1. The distance between $C(2, 8)$ and $D(2, -3)$ is 11 units, calculated as $|8 - (-3)| = 11$. Marcus made an error by not accounting f…
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in circle v, angle wxz measures 30°. line segments wv, xv, zv, and yv a…
$120^\circ$
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quadrilateral qrst is a rectangle, qs = 3z, and rt = z + 92. what is qs?
\( 138 \)
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quadrilateral stuv is a rectangle, su = 2y, and tv = y + 87. what is th…
\( y = 87 \)
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a flat screen television is advertised as being 43 inches on its diagon…
38.6
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find the perimeter and area of the trapezoid shown below. round your an…
The perimeter is \(60.8\) feet. The area is \(212.94\) square feet.
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which angle number represents an angle adjacent to $\\angle rxu$? answe…
3
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which statement about a dilation with a scale factor of 3 is true? thre…
Each side in the pre-image is multiplied by three to find the corresponding side length in the image.
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1 what is the best estimate of the area of the figure below? 4 in 6 in
The best estimate of the area is approximately $\boldsymbol{38}$ square inches (or $\boldsymbol{24 + 4.5\pi}$ square inches for the exact value).
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drag the tiles to the correct boxes to complete the pairs. in the figur…
$\angle 3, \angle 7, \angle 6 ightarrow$ angles congruent to $\angle 2$ $\angle 3, \angle 7, \angle 2 ightarrow$ angles congruent to $\angle 6$ $\angle 4, \angle 8, \angle 5 ighta…
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oint - slope formula to write an equation of the line that passes throu…
$y=\frac{9}{7}x-\frac{1}{7}$
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lines of symmetry score: 2/5 penalty: 1 off question draw in all lines …
The shape has two lines of symmetry: one vertical and one horizontal, each passing through the center of the cross - shaped figure. To draw them, for the vertical line, click two …
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use the drop - down menus to explain how to determine the angle measure…
A triangle similar to DEF will have an angle that measures $\boldsymbol{70}$ degrees, an angle that measures $\boldsymbol{45}$ degrees, and an angle that measures $\boldsymbol{65}…
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find the length of the third side. if necessary, write in simplest radi…
$\sqrt{74}$
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Question was provided via image upload.
$m\angle1 = 30^\circ$ $m\angle2 = 41^\circ$ $m\angle3 = 96^\circ$
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in the figure below, $\\triangle fgh$ is drawn. the line $\\overleftrig…
\( x = 100 \)
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find pr. write your answer as an integer or as a decimal rounded to the…
\( 7.8 \)
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graph each equation. 9) \\(\frac{x^2}{4} + \frac{y^2}{9} = 1\\)
# Explanation: ## Step1: Identify the conic section The equation \(\frac{x^{2}}{4}+\frac{y^{2}}{9} = 1\) is in the standard form of an ellipse \(\frac{x^{2}}{b^{2}}+\frac{y^{2}}{a…
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3 type the correct answer in the box. use numbers instead of words. a s…
40
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use the two points to find the slope of this line. m = \\frac{4}{?} rem…
\(3\)
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find the length ( x ) to the nearest whole number. (do not round until …
\( \boxed{290} \)
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two parallel lines are cut by a transversal as shown below. suppose ( m…
$m\angle5 = 36^\circ$ $m\angle7 = 144^\circ$
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solve for ( x ) and graph the solution on the number line below. if pos…
$3 \leq x < 12$ ### Number Line Graph Instructions: 1. Draw a closed circle at $x=3$ (since the inequality includes equality) 2. Draw an open circle at $x=12$ (since the inequalit…
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for the rhombus below, find the measures of ∠1, ∠2, ∠3, and ∠4.
$m\angle 1 = 41^\circ$ $m\angle 2 = 139^\circ$ $m\angle 3 = 69.5^\circ$ $m\angle 4 = 20.5^\circ$
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what is ( mangle 1 )?( mangle 1 = square^circ )
\(45\)
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what is the length of the hypotenuse? if necessary, round to the neares…
10 yards
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4 m, 2 m, b. what is the length of the missing leg? if necessary, round…
3.5 meters
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given the information marked on each figure below, select all classific…
Quadrilateral (selected), Parallelogram (selected), Rectangle (selected) ### Second Figure (ABCD with right angles at A, C and other angles marked):
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find the length of the third side. if necessary, round to the nearest t…
4
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list the side lengths of $\\triangle tuv$ in order from shortest to lon…
$UV < TV < TU$
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list the angle measures of $\\triangle ijk$ in order from smallest to l…
$m\angle I < m\angle K < m\angle J$
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find the shortest side of $\\triangle uvw$.
$\overline{UW}$
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find the smallest angle of $\\triangle fgh$. assume that $t$ is a posit…
$\angle G$
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are these triangles similar? yes no
yes
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which rule explains why these triangles are similar? sss sas aa none of…
AA
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write the coordinates of the vertices after a dilation with a scale fac…
$M'(-4, 0)$, $N'(-8, -4)$, $K'(-4, -8)$, $L'(8, -4)$
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write the coordinates of the vertices after a reflection over the y - a…
\( A'(10, -10) \), \( B'(0, -10) \), \( C'(0, -1) \), \( D'(10, -1) \) (Note: If original coordinates were misread, adjust. But based on the grid, \( A(-10, -10) \), \( B(0, -10) …
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area of triangle =?
$18\ \text{cm}^2$
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14. find the length of the radius.
\(13\)
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in the diagram below, ∠dab and ∠dac are adjacent angles. if ( mangle da…
\( m\angle BAC = 105^\circ \) (the option is 105)
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applying the angle addition postulate in the diagram below, ∠dab and ∠d…
For \( m\angle DAB \): \( \boldsymbol{80^\circ} \) For \( m\angle BAC \) (selecting from the dropdown): \( \boldsymbol{80} \) (assuming a possible diagram - related simplification)
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list the side lengths of $\\triangle wxy$ in order from shortest to lon…
$WY < XY < WX$
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create a rectangle around the parallelogram. the dimensions of this rec…
Dimensions of the rectangle: $\boldsymbol{11 \times 20}$ square units Total area of the triangles: $\boldsymbol{110}$ square units Area of parallelogram ABCD: $\boldsymbol{110}$ s…
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the diagram shows a shaded triangle inside a rectangle. what is the are…
16 cm² (corresponding to the option with 16 cm², e.g., if the option is D. 16 cm², then D. 16 cm²)
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3. identify the angle pair. a) adjacent b) alternate interior c) vertic…
e) Corresponding ### Question 4
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(d) can these be the angle measures of a triangle? 34°, 58°, 42° ○ yes …
No
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segment be is the altitude of parallelogram abcd. be is approximately 1…
# Explanation: ## Step1: Identify base length First, we need the length of the base corresponding to altitude BE. Looking at the graph, we can use the distance formula for side AD…
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for each set of three measures, determine if they can be angle measures…
Yes ### Part (b)
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(d) can these be the angle measures of a triangle? 42°, 18°, 120° ○ yes…
Yes
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rectangle q in the standard (x, y) coordinate plane was obtained by app…
Dilation with a scale factor of 3 centered at the origin followed by a reflection across the x - axis (the fourth option: Dilation with a scale factor of 3 centered at the origin …
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in the figure below, $\\triangle ijk$ is drawn. the line $\\overleftrig…
\(81^\circ\) (Note: For the "because they are" part, it's about alternate interior angles or triangle angle sum. But the angle measure is \(81^\circ\).)
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select the correct answer. which quote from the speech best expresses k…
D. "this generation does not intend to founder in the backwash of the coming age of space." (paragraph 1)
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activity 1 - area of composite figures question #4 - determine the area…
What is the area of the shaded right triangle? 8 sq. in. What is the area of the shaded trapezoid? 10 sq. in. What is the area of the shaded region? 18 sq. in.
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a skateboarder uses this ramp to practice her jumps. what is the height…
20 in
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area: composite figures consider this figure. enter the total area of f…
$42\sqrt{7}$ or approximately 111.12 square centimeters
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trigonometric stack how long is this side? δ #12 71° δ #11 21° 1.7 cm 2…
\boxed{20} (assuming \( i = 20 \) is the length of the side)
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e exponential notation to write an expression for the area of the squar…
\( 6^2 \) (or 36, but the expression in exponential notation is \( 6^2 \))
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3 from unit 6, lesson 13 you know x is a number less than 4. select all…
B. $x + 6 < 10$, C. $5x < 20$, E. $x < 8$ --- ### Problem 4a
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in the triangle below, \\( \\angle c \\) is a right angle. suppose that…
(a) The equation is \(8x + 116=180\) (or the expanded form \((5x + 15)+(3x + 11)+90 = 180\)) (b) \(m\angle A=\boldsymbol{55^\circ}\), \(m\angle B=\boldsymbol{35^\circ}\), \(m\angl…
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find the measure of each segment. #1) ab
\( 5 \)
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use the interactive protractor to determine the measure of the angle. w…
\( 110^\circ \) (the option is "110°")
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use the interactive protractor to determine the measure of the angle. w…
D. \( 115^\circ \)
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triangle abc is a right triangle the length of bc is 5 units. the area …
50 square units
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do the \find the syllable type\ activity have your child circle the wor…
Circled (open syllable) words: pry, hi, she, be, so, why, cry, I, no Crossed out words: kept, huff, spill, fly, lamp, fold Written and marked open syllable words: 1. pr/y 2. h/i 3…
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in the figure below, ( l parallel m ). find ( x ). ( x = square )
\(39\)
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what is the pre - image of vertex a if the triangle shown on the graph …
\((-6, 8)\) (matching the option \((-6, 8)\))
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in the figure, e, g, h are on a vertical line, g and f are on a horizon…
\( a = 9 \)
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6-8 additional practice 1. leveled practice if ( p parallel q ), what i…
\( m\angle v = 76^{\circ} \) (assuming \( \angle u \) and \( \angle v \) are same - side interior angles and supplementary) ### Problem 2:
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translate triangle abc, starting at (0, -5) (3, -5) (6, 2), to the left…
c
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the vertices of $\\triangle abc$ are $a(-6, -7)$, $b(-3, -10)$, and $c(…
c. $A'(5, -3), B'(8, -6), C'(6,6)$
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translate triangle abc, with vertices at (2, -4) (-4, 4) (-1, 3), 6 uni…
The correct image is option a
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the vertices of $\\triangle abc$ are $a(-6, -7)$, $b(-3, -10)$, and $c(…
a. $A'(-8,-14)$, $B'(-5,-17)$, $C'(-7,-5)$
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6 - 8 additional practice 1. (some text about angles and parallel lines…
\( 75.8^{\circ} \) ### Problem 4:
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which statement proves that quadrilateral hijk is a kite? - $overline{h…
IH = IJ = 3 and JK = HK = $\sqrt{29}$, and IH ≠ JK and IJ ≠ HK.
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what would be the coordinates of the vertex w of a rectangle after a ho…
d. $(4, -3)$
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translate triangle abc, with vertices (-3, -2) (-0, -2) (-0, 5), 6 unit…
The correct image is option a.
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d a hexagon with exactly 1 pair of parallel sides
A possible hexagon is formed by connecting the grid points in the following order (using a 5x5 grid coordinate system where the bottom-left is (1,1)): $(1,1)$, $(2,1)$, $(3,2)$, $…
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select the correct answer. $overleftrightarrow{ab}$ and $overleftrighta…
C. $-7x - 5y = -48$
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quadrilateral defg is an isosceles trapezoid and ( mangle g = 5v - 42^c…
$v = 18.8$
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quadrilateral defg is an isosceles trapezoid and ( mangle g = 7u + 20^c…
$u = 6$
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solve for x. x = (simplify your answer. type an integer or a simplified…
14
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translate triangle abc, starting at (3, -0) (-3, -6) (0, 1), 6 units to…
b
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type the correct answer in each box. use numerals instead of words. if …
$y = -\frac{1}{4}x + 7$ The first box is $-\frac{1}{4}$ (or -1/4) and the second box is 7.
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c a hexagon with exactly 1 pair of perpendicular sides
A valid hexagon is formed by connecting the grid points in this order: $(1,1)$, $(1,2)$, $(2,2)$, $(3,3)$, $(4,2)$, $(4,1)$, $(2,1)$ (and back to $(1,1)$). This shape has exactly …
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translate triangle abc, starting at (3, -6) (-3, -6) (0, 1), 6 units to…
The translated triangle will have vertices at (9, -5), (3, -5), (6, 2)
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proving properties in the coordinate plane prove that the diagonals of …
The slope of $\overline{XV}$ is $\boldsymbol{\frac{5}{6}}$ The slope of $\overline{UW}$ is $\boldsymbol{-\frac{6}{5}}$ The slopes of the diagonals are $\boldsymbol{\text{negative …
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the vertices of rhombus defg are d(1, 4), e(4, 0), f(1, -4), and g(-2, …
20 units
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tw is the midsegment of the trapezoid uvxy. if xy = -z + 72, tw = 3z - …
$z = 35$
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quadrilateral fghi is an isosceles trapezoid, fh = 7a - 46, and gi = 6a…
$a = 18$
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which steps will verify that a parallelogram is a rectangle? check all …
- Calculate the lengths of the diagonals, and show that they are equal. - Calculate the slopes of every side, and show that adjacent sides are perpendicular.
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b a pentagon with exactly 1 right angle and exactly 1 acute angle
A pentagon meeting the requirements is formed by connecting the dot grid points in the order: (1,1) → (1,3) → (3,5) → (5,5) → (2,1) → (1,1) Visual description: - A right angle at …
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triangle abc is an isosceles triangle in which side ab = ac. what is th…
10 + √10 units
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bisecting a segment given \\(\\overline{ed} \\cong \\overline{db}\\), w…
- $\overline{EB}$ is bisected by $\overline{DF}$. - A is the midpoint of $\overline{FC}$. - $\overline{EB}$ is a segment bisector. - $FA=\frac{1}{2}FC$.
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mary thinks the triangle is equilateral. how would you support or dispu…
Use the distance formula to calculate the length of all three sides, and check whether all sides are congruent.
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a a quadrilateral with exactly 1 pair of parallel sides
Se trata de un **trapecio** (definición exclusiva). Un ejemplo de dibujo en la cuadrícula: Conectar los puntos (fila 1, columna 1), (fila 1, columna 3), (fila 3, columna 4), (fila…