幾何
三角形、圓、解析幾何與證明題。
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question 2 use triangles abc and rst to answer the following questions.…
Yes, $\triangle ABC$ is a right triangle. The side lengths satisfy the Pythagorean theorem: $12^2 + 5^2 = 13^2$ ($144 + 25 = 169$), confirming it is a right triangle (right-angled…
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angles a and b are supplementary. angle a has a measure of 80°. what is…
\(100\)
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m∠dab = m∠□ + m∠□ exterior angle theorem (12x + 7)° = (6x − 4)° + 65° s…
The missing angles in the theorem are $\angle ABC$ and $\angle BCA$; $x=9$, and $m\angle DAB=115^\circ$
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question 2 use triangles abc and rst to answer the following questions.…
Yes, $\triangle ABC$ is a right triangle. It satisfies the Pythagorean theorem: $12^2 + 5^2 = 13^2$, so $\angle B$ is the right angle.
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no iready minutes this week 1. set - up and solve an equation to find t…
\(x = 23\), \(m\angle XWU = 129^\circ\)
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show your work!!!!!!!!!!!!!!! the area of a square is equal to 1296 $ft…
36 172
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Question was provided via image upload.
First blank: supplementary; Second blank: 3 and 2; Third blank: transitive (or substitution); Fourth blank: 2
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show your work!!!!!!!!!!!!!!! the area of a square is equal to $324\\ f…
Each side of the square is: 18 The perimeter is: 72
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$\\angle fbc$ and $\\angle cbg$ are supplements, $\\angle dbg$ and $\\a…
B. $\angle FBC \cong \angle DBG$
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brian wants to know the number of t - shirts he can order. let x be the…
\(12x\leq60\) ### Sub - question 2: Solve the inequality \(12x\leq60\)
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based on the diagram, which reason justifies this statement? if $\\angl…
A. Complements of the same angle are congruent.
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let ( mangle a = 40^circ ). if ( angle b ) is a complement of ( angle a…
\( m\angle B = \boldsymbol{50}^\circ \) \( m\angle C = \boldsymbol{130}^\circ \)
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the graph represents a function. which ordered pair can be plotted toge…
$\boldsymbol{(0, 3)}$
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a rectangular playground has an area of 180 square yards. the length of…
15 yards
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solving problems with right triangles in this activity, you will apply …
6
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Question was provided via image upload.
$x=23$, $y=7$, $z=\frac{16}{3}$
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extra credit: 24. show work: 1. a map has a scale of 1 cm : 18 km. if l…
The length of Lake Superior on the map is approximately $\boldsymbol{31.28\ \text{cm}}$ (or exactly $\boldsymbol{\frac{563}{18}\ \text{cm}}$).
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er of the triangle. $3m^3 + 4m^2 - 4m$ $5m^3 - 3m^2 + 7m$ $3m^3 + 4m^2 …
The perimeter of the triangle is \(11m^{3}+5m^{2}-m\)
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question draw in all lines of symmetry in the shape below. if there are…
The shape has 6 lines of symmetry. Each line passes through the tip of one petal and the tip of the petal directly opposite to it. To draw them, click on two points (e.g., the tip…
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finding an angle measure what is the measure of ∠cbe? options: 36°, 72°…
\(72^\circ\) (corresponding to the option \(72^\circ\))
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finding an angle measure what is the measure of $\\angle$edh? $\\circ$ …
\(50^\circ\) (corresponding to the option \(50^\circ\))
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lets use a picture to represent our graham cracker. how many pieces sho…
3 (corresponding to the option with "3")
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a. b. c. d. e. f. g. h. i. j. k. l. select all of the graphs above that…
d. (directed edges), e. (directed edges), k. (directed edges), l. (directed edges) So the digraphs are d, e, k, l.
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$\\triangle pqr \\sim \\triangle wvx$. find $wx$.
$\frac{8}{3}$
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1. identify the congruent corresponding parts. corresponding ≅ angles a…
a. $\boldsymbol{\angle Q}$ b. $\boldsymbol{\angle Y \cong \angle P}$ c. $\boldsymbol{\angle Z \cong \angle N}$ d. $\boldsymbol{\overline{XY} \cong \overline{QP}}$ e. $\boldsymbol{…
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what is the value of x, the width, and height of the wall? round your a…
| Value of x | Height | Width | |------------|--------|-------| | 0.09 | 7.08 | 3.18 |
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* 20 points what is the width and height of the building? round your an…
Height: 120 Width: 134.4
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13. if point (r, -3) lies on the line whose equation is 3x + y = 18, th…
7
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what is the value of x? round your answer to the nearest hundredth. * 1…
4.8
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select all shapes that match the description. quadrilateral kpsx has tw…
Square, Rhombus, Kite
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select all shapes that match the description. quadrilateral bntv has di…
C. Square D. Rhombus
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select all shapes that match the description. quadrilateral grmw has tw…
B. Rectangle C. Square
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use the triangle proportionality theorem to set up how to solve for the…
The proportion to solve for \( JI \) (where \( JI = x \)) is \(\frac{21}{42}=\frac{x}{22}\) (or equivalently \(\frac{21}{42}=\frac{JI}{22}\)). If we were to solve for \( x \), we …
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determine the following. 10 points two congruent angles isosceles trape…
1. The value of x: 10 2. The measure of angle M: $40^\circ$ 3. The measure of angle C: $140^\circ$
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question what is an equation of the line that passes through the points…
$y = -\frac{1}{2}x + 8$ (or $x + 2y = 16$)
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use the figure to complete the proportion. 1. \\(\\frac{gc}{cf} = \\fra…
1. $GD$ 2. $BE$ 3. $GB$ 4. $GD$ 5. $AE$ 6. $CD$ 7. $\overline{BD} \parallel \overline{AE}$ 8. $\overline{BD} parallel \overline{AE}$ 9. $\overline{BD} parallel \overline{AE}$ 10. …
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what is an equation of the line that passes through the points (2, -8) …
\(y=-x - 6\)
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9 a (0, 3) b (4, 2) translation: (x,y) → (x - 3, y) reflection: in x = …
## Problem 9: $A=(0,5)$, $B=(6,2)$ $A'=(0,-5)$, $B'=(-6,-2)$ $A''=(4,-5)$, $B''=(10,-2)$ ## Problem 10: $A=(3,5)$, $B=(7,2)$ $A'=(-1,5)$, $B'=(3,2)$ $A''=(-5,-1)$, $B''=(-2,3)$ ##…
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add. use models if needed. (examples 1-5) 1. $(4x + 8) + (7x + 3) = $ 2…
1. $11x + 11$ 2. $-9x + 16$ 3. $4x - 16$ 4. $x$ 5. $4x + 14$ 6. $18x - 15$ 7. Simplified perimeter: $22x + 10$; Perimeter at $x=10$: $230$ mm 8. Simplified perimeter: $8x + 2$; Pe…
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coordinate plane independent practice use the translations shown on gra…
Graph A ### Question 2: Which graph(s) show a translation left and up?
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what is the missing reason in the proof? a. segment addition b. congrue…
C. Transitive Property of Equality
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select the correct answer. given ∠aob is a right angle prove ( mangle b…
A. \( \angle AOB \) and \( \angle BOC \) form a linear pair.
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sketch △abc, △abc and △abc using the given compositions. then, reverse …
### 7 (Top Left): $A'(4,2)$, $B'(8,2)$, $C'(9,5)$ $A''(4,-2)$, $B''(8,-2)$, $C''(9,-5)$ ### 7 (Top Right): $A'(1,-2)$, $B'(5,-2)$, $C'(6,-5)$ $A''(4,-2)$, $B''(8,-2)$, $C''(9,-5)$…
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select the correct answer form each drop - down menu given: ( mangle ao…
To solve this, we analyze each step using angle properties: ### Step 1: Identify the first property (∠EOF ≅ ∠BOC) Vertical angles are congruent. ∠EOF and ∠BOC are vertical angles,…
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∠bmd is a right angle prove: ∠amb ≅ ∠cmd the proof is converted to para…
The incorrect parts are: - "Since \( \angle AMC \) is a right angle, \( \angle BMC \) and \( \angle CMD \) are complementary" (should be \( \angle AMB \) and \( \angle BMC \) are …
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find the perimeter and area of the following shapes. perimeter of each …
- Perimeter: \( \boldsymbol{31.42\,\text{cm}} \) (or \( 22 + 3\pi\,\text{cm} \)) - Area: \( \boldsymbol{62.13\,\text{cm}^2} \) (or \( 48+\frac{9\pi}{2}\,\text{cm}^2 \)) (Note: If …
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look at the diagram. which term describes \\(\\overline{hj}\\)? altitud…
none of these
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$overline{vy} cong overline{xy}$. which term describes $overline{wy}$? …
median
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rotate the shape by 360° counterclockwise. move the blue points to the …
The points remain at their original coordinates: $(-4, 7)$, $(5, 5)$, $(3, -4)$, $(-3, -3)$
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rotate the shape by 270° clockwise. move the blue points to the new coo…
New coordinates of the blue points: $(-6, -2)$, $(-3, 1)$, $(5, 1)$, $(5, -2)$
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a superhero action figure has volume 1500 cm³. the figure is dilated to…
1. The approximate scale factor of the dilation is $\boldsymbol{\approx 3.11}$ 2. No, the scale factor is not doubled. The volume scale factor is 2, but the linear scale factor is…
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which statement describes the graph of the system of equations below?\\…
The lines intersect at (1.6,1.4).
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1. write an inequality for the graph. 2. circle all of the values that …
$x \geq -3$ ### Question 2
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rotate the shape by $270^circ$ clockwise. move the blue points to the n…
New coordinates of the blue points: 1. $(2, -3)$ 2. $(-2, -2)$ 3. $(-1, 1)$ 4. $(6, 3)$ (To complete the task, move each blue point to its corresponding new coordinate on the grid…
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rotate the shape by $180^{circ}$ counterclockwise. move the blue points…
The new coordinates of the blue points are $(-2, 2)$, $(-2, -5)$, and $(2, -4)$ (plot these points on the grid to form the rotated shape).
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rotate the shape by $180^{circ}$ clockwise. move the blue points to the…
The new coordinates of the blue points are $(2, -3)$, $(-1, -5)$, and $(-3, 6)$ (plot these points to form the rotated shape).
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rotate the shape by $270^{circ}$ clockwise. move the blue points to the…
The new coordinates of the blue points are $(-4, -5)$, $(-7, 3)$, $(6, 3)$, and $(3, -5)$. Plot these points to form the rotated shape.
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rotate the shape by 270° clockwise. move the blue points to the new coo…
The new coordinates of the blue points are $(7, 2)$, $(2, -2)$, and $(-6, 0)$ (these are the positions to move the blue points to).
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rotate the shape by $180^circ$ counterclockwise. move the blue points t…
The new coordinates of the rotated triangle's vertices are $(3, 4)$, $(-2, -3)$, and $(-3, 4)$.
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rotate the shape by 360° clockwise. move the blue points to the new coo…
The blue points remain at their original coordinates: $(-4, -3)$, $(-2, 5)$, $(3, 1)$, $(4, 0)$ (no movement is needed, as a 360° rotation leaves the shape unchanged).
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x = y = (right triangle with a 45° angle, hypotenuse 2, one leg x, the …
\(x = \sqrt{2}\), \(y=\sqrt{2}\)
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rotate the shape by $270^{circ}$ clockwise. move the blue points to the…
The new coordinates of the rotated shape are $(-3, -2)$, $(-7, 1)$, $(7, 3)$, and $(6, -2)$. When plotted, these points form the $270^\circ$ clockwise rotated version of the origi…
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jacob is the punter for his schools football team. during practice, he …
The third graph (the one with a small dip at the start, then a rise to a peak, then a fall to the ground)
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ples, find the variables. simplify all radicals and show dicals in the …
### Part (b) \(m = \boldsymbol{20}\), \(n = \boldsymbol{10}\) ### Part (d) \(x = \boldsymbol{60}\)
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8. a 5\ x 8\ picture was enlarged to a 12.5\ x 20\ picture. what was th…
The scale factor used is \( 2.5 \) (or \( \frac{5}{2} \)).
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∠uyw is a right angle and \\(\\overline{xy} \\cong \\overline{uy}\\). w…
perpendicular bisector
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use the graph of $\\triangle abc$ with midsegments $\\overline{de}$, $\…
Because the slopes of $\overline{DE}$ and $\overline{CB}$ are both $\boldsymbol{1}$, $\overline{DE}\parallel\overline{CB}$. $DE = \boldsymbol{2\sqrt{2}}$ and $CB = \boldsymbol{4\s…
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look at the diagram. which term describes \\(\\overline{tw}\\)? median …
altitude
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exercises find the sum of the measures of the interior angles of each c…
\( 1440^{\circ} \) ### Problem 2: 16 - gon
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complete the sentence if \\(\\overline{de}\\) is the midsegment opposit…
$\frac{1}{2}$
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vocabulary the of a triangle is a segment that connects the midpoints o…
midsegment
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5. point p is on side \\(\\overline{bc}\\) of rectangle abcd. if \\(ab …
\(135^\circ\)
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which graph represents a proportional relationship between x and y? 50.…
The fourth graph (bottom-right, starting at the origin with a shallow positive slope) --- ### Second Question (Angle Calculation)
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question 14 of 16, step 1 of 1 use your knowledge of x - and y - interc…
c
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which angles are complementary to each other? options: ∠3 and ∠2, ∠3 an…
$\angle 1$ and $\angle 4$
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which angles are complementary to each other? select all that apply.
$\angle 2$ and $\angle 5$, $\angle 4$ and $\angle 5$
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for each pair of figures below, choose how they are related. options fo…
1. Rotation 2. None of these 3. Reflection 4. Reflection
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Question was provided via image upload.
# Explicación: ## Problema 7 ### Paso 1: Aplicar propiedad ángulo exterior El ángulo exterior es igual a la suma de los ángulos internos no adyacentes. $$x + 4 = 3x$$ ### Paso 2: …
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6. determine the relationship between the two triangles and whether or …
6. The two triangles are related by **ASA (Angle-Side-Angle)**, so the triangles **can be proven congruent**. 7. The two triangles are related by **SAS (Side-Angle-Side)**, so the…
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given $m\\parallel n$, find the value of x.
\( x = 12 \)
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classify each figure as a line, ray, or line segment. then, show how to…
| Figure | Type | How to write it | |--------|------|-----------------| | (a) | line segment | $\overline{KJ}$ (or $\overline{JK}$) | | (b) | ray | $\overrightarrow{UT}$ | | (c) |…
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what is the measure of \\(\\angle dbe\\)? \\(\\circ\\) a. \\(75^\\circ\…
C. \(45^\circ\)
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translate the figure 6 units left and 4 units up. plot all of the point…
To solve the problem of translating the figure 6 units left and 4 units up, we first need to identify the coordinates of the original vertices of the figure. Let's assume the orig…
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determine a series of transformations that would map polygon ( abcde ) …
A dilation centered at the origin with a scale factor of $3$ followed by a rotation $180^{\circ}$ about the origin.
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complete the statements about the relationship between the two labeled …
\(X = 8\)
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if these two shapes are similar, what is the measure of the missing len…
1
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solve for x. round to the nearest tenth, if necessary. (image of right …
# Explicación: ## Paso 1: Identificar la relación trigonométrica En el triángulo rectángulo, para el ángulo de $61^\circ$, el lado $x$ es la tangente (opuesto sobre adyacente). $\…
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: $(-6, -2)$ Point in final figure: $(-6, 5)$
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solve the following system of equations graphically on the set of axes …
The solution to the system of equations is \( (-2,1) \)
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name the marked angle in 2 different ways.
1. \( \angle NPQ \) 2. \( \angle P \)
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solve the following system of equations graphically on the set of axes …
The solution is \(x = 2\), \(y=-5\) (the intersection point is \((2,-5)\)).
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which angle is adjacent to $\\angle cfd$? $\\angle efa$ $\\angle cfa$ $…
\(\angle CFE\)
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y ≥ 4 plot points on the boundary line. select the line to switch betwe…
1. Draw a solid horizontal line through all points where $y=4$ (e.g., $(-10,4)$, $(0,4)$, $(10,4)$). 2. Shade the entire region of the coordinate plane that lies above this solid …
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find the x-intercept and the y-intercept of the line below. click on on…
(a) x - intercept: \(-4\) (b) y - intercept: \(4\)
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graph this inequality: $y > \\frac{1}{4}x + 5$ plot points on the bound…
# Explanation: ## Step1: Identify the boundary line type The inequality is \( y > \frac{1}{4}x + 5 \), so the boundary line \( y=\frac{1}{4}x + 5 \) should be dashed (since the in…
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the diagram shows a triangle. what is the value of ( s )? ( s = square^…
$55$
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the diagram shows a triangle. what is the value of z? z = \\square°
$z = 48^\circ$
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find the measure of the missing angles.
Angle \( x = 35^\circ \), Angle \( y = 145^\circ \)
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find the longest side of $\\triangle stu$.
The longest side of $\Delta STU$ is $\boldsymbol{TU}$.
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find the shortest side of $\\triangle bcd$.
The shortest side of $\triangle BCD$ is $\overline{DC}$ (or side $DC$)