Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the diagram below is an oblique, or slanted, rectangular prism. not all…
Plane $LMNO$, Plane $HIJK$
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lines m and n are parallel. find the measures of angles x, y, and z in …
\(x = 50^{\circ}\), \(y = 130^{\circ}\), \(z = 50^{\circ}\)
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the area of rhombus abcd is 120 square units. ae = 12 and bd = x - 2. w…
$x = 12$ $BD = 10$ units
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6. d = ____________ r = ____________ function? ____________
\(D = [-3,3]\), \(R=[-2,2]\), Function? No
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given that the top and bottom sides are parallel, find the value of x. …
$x = 117$
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in exercises 5 and 6, identify the segment bisector of $overline{jk}$. …
The segment - bisector of $\overline{JK}$ is point $M$ and $JM = 40$.
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select all the names that apply to the following shape. (select all cor…
a. quadrilateral e. parallelogram f. square g. rectangle h. rhombus
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the area of a kite is 51.68 square inches. one diagonal measures 15.2 i…
B. 6.8 inches
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area of right - angled triangles find the area of this right - angled t…
30 $cm^{2}$, 15 $cm^{2}$, 9 $cm^{2}$, 28 $cm^{2}$, 15 $cm^{2}$, 24 $cm^{2}$, 36 $cm^{2}$, 30 $cm^{2}$, 14 $cm^{2}$
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name the plane that is highlighted in the diagram below. answer attempt…
Plane OPQ (other valid answers using three non - collinear points on the plane like plane OPR, plane PQR etc. are also correct)
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finding the perimeter of a kite in the coordinate plane a sandbox is sh…
24
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name the plane that is highlighted in the diagram below. answer attempt…
Plane YXT
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applying the area of a rhombus formula juan is making a model out of rh…
For each rhombus: 12 square inches For the wall: 396 square inches
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the coordinates of rhombus abcd are a(-4, -2), b(-2, 6), c(6, 8), and d…
B. 60 square units
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how can you find the perimeter of the rhombus? find $\frac{1}{2}(qs)(rt…
Use the distance formula to find QT, then multiply by 4.
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name the marked angle in 2 different ways.
∠I, ∠HIJ
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applying the area of a trapezoid formula a plot of land has an area of …
$4.5$
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find the equation of the line. use exact numbers. for a negative y - in…
$y=-\frac{5}{3}x + 5$
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what is the area of the trapezoid? 34 square units 42 square units 84 s…
42 square units
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describe the translation of the point to its image. (4, -2) → (-1, -7) …
$(x,y)\to(x - 5,y - 5)$ $(x,y)\to(x + 9,y + 4)$ $(x,y)\to(x - 11,y - 3)$
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calculate the given angle, to the nearest degree. ? 51 35 a. 43° b. 56°…
A. $43^{\circ}$
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practice using areas and perimeters of trapezoids, rhombi, and kites. h…
110400
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use the number line below to determine the ratio of bc to gk. a b c d e…
D. 1:4
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calculate the given angle, to the nearest degree. 55 ? 33 44 a. 37° b. …
A. $37^{\circ}$
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if you go down, its y the new image is the one that is darker. describe…
First: \((x,y)\to(x + 4,y+3)\) Second: \((x,y)\to(x - 2,y + 5)\)
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value: 3 calculate the given angle, to the nearest degree. 48 ? 50 a. 7…
C. $44^{\circ}$
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identify the correct inverse trigonometric function to use to solve for…
A. $\tan^{-1}(3.83)$
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identify the correct inverse trigonometric function to use to solve for…
None of the given options are correct. The correct inverse - trigonometric function to use is $\tan^{-1}(0.26)$.
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value: 2 identify the correct inverse trigonometric function to use to …
A. $\tan^{-1}(.71)$
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6. what is the area of this parallelogram in square centimeters? a. 9.7…
C. 12.9
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value: 2 coconut palm trees can reach heights of up to 100 feet. suppos…
d. $38.7^{\circ}$
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for questions #7 - 9, refer to the diagram at the right, where pq⊥qr, m…
7. $m\angle PQR = 90^{\circ}$ 8. $m\angle TQR = 75^{\circ}$ 9. The complement of $\angle PQS$ is $30^{\circ}$
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name the plane that is highlighted in the diagram below. answer attempt…
Plane BKF (other valid combinations of three non - collinear points on the plane like BKL, KLF etc. are also acceptable)
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name the plane that is highlighted in the diagram below. answer attempt…
Plane QRW (other valid answers like Plane QRW, Plane QWR, Plane RWQ, Plane RQW, Plane WQR, Plane WRQ are also acceptable as long as they use three non - collinear points on the pl…
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if $vec{x}=(3, - 3)$ and $vec{y}=(-2, -2)$, find the difference $vec{x}…
$\langle5,-1 angle$
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name the plane that is highlighted in the diagram below. answer attempt…
Plane NOT
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marco is making a kite, using sticks for its diagonals. one stick is 2 …
B. 3 square feet
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the point (-4,1) is rotated 180 degrees counterclockwise using center (…
D. $(4,-1)$
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graph the following function on the axes provided. $f(x)=\begin{cases}-…
The graph consists of a line $y=-3x - 6$ for $x < - 1$ (open - circle at $(-1,-3)$) and a line $y=-2x + 8$ for $x>5$ (open - circle at $(5,-2)$).
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what is the similarity statement for the triangle pair? △yzx - △nwe △zy…
$\triangle ZYX\sim\triangle ENW$
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for questions #1 - 3, refer to the diagram at the right, where m∠abc = …
1. $x = 10$ 2. $m\angle ABC=70$ 3. $m\angle ABD=60$
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solve for x x = 104 x = 153 x = 143 x = 44
\(X = 143\)
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solve for x no answer x = 4 x = 16 x = 12
$x = 16$
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a cedar tree that is 8 feet tall casts a shadow 15 feet long. if a near…
16
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understanding dilations and similarity 1 each problem shows three figur…
1. a. Figures \(A\) and \(C\) are similar. b. Figures \(A\) and \(C\) are similar. 2. When lines are drawn from the center of dilation \(X\) to the corresponding vertices of the f…
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what is the volume of this sphere? round your answer to the nearest hun…
$904.78$
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what is the scale factor if the triangle on the left is the original? 1…
D. \(2/3\)
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what is the scale factor from abcd to mnop? 3/2 2 2/3 3
C. 2/3
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find the equation of the line. use exact numbers. for a negative y - in…
$y = 4x-8$
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abstract nouns finding nouns you can’t see, hear, taste, touch, or smel…
1. curiosity 2. playfulness 3. silliness 4. intelligence 5. happiness 6. love, happiness 7. affection 8. excitement, enthusiasm 9. fear, doubt 10. wisdom, tenderness
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identify the correct trigonometry formula to use to solve for x. a. $si…
A. $\sin(55^{\circ})=\frac{11}{x}$
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which proportion is true? $\frac{v}{6}=\frac{7.3}{2.52}$, $\frac{6}{w}=…
C. \(\frac{v}{6}=\frac{4.2}{2.52}\)
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3. in the diagram, $overline{ab}$ and $overline{ce}$ are perpendicular.…
$x = 6$, $m\angle CEH=36^{\circ}$
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value: 2 identify the correct trigonometry formula to use to solve for …
C. $\cos(62^{\circ})=\frac{18}{x}$
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algebra find m∠deg ar (18x - 9)° (4x + 13)°
$m\angle DEG = 135^{\circ}$
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finding the perimeter of a trapezoid in the coordinate plane what is th…
$38.25$
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a lake near the arctic circle is covered by a 2 - meter - thick sheet o…
$y=-0.25x + 2$
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value: 2 solve for x. round to the nearest hundredth if necessary. 20 5…
C. 11.47
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value: 2 solve for x. round to the nearest hundredth if necessary. 19 2…
c. 39.19
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value: 2 solve for x. round to the nearest hundredth if necessary. 24° …
A. 5.69
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algebra find m∠deg and m∠gef. 17. (18x - 9)° (4x + 13)° d e f g 18.
$m\angle DEG = 135^{\circ}$, $m\angle GEF = 45^{\circ}$
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red maple trees can reach heights of up to 80 feet. what is the height …
A. 66.5 feet
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for each circled number in the picture, use the drop - down option belo…
1. Reflection across the x - axis and vertical stretch by a factor of 3 2. Horizontal shift 4 units to the right 3. N/A (not a transformation - causing number in the relevant sens…
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a. draw parallel lines ab and cd. b. pick any point e. rotate ab 90 deg…
The rotated lines \(AB\) and \(CD\) (after 90 - degree clockwise rotation around point \(E\)) are still parallel.
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what is the perimeter? if necessary, round to the nearest tenth. centim…
$17.9$
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write the ordered pair for each point on the cartesian plane.
A: $(2,2)$ B: $(4,7)$ C: $(-2,-5)$ D: $(-2,1)$ E: $(6,-1)$
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what is the surface area? 8 m 10 m 12 m 10 m 10 m square meters
416
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identify a pair of corresponding angles. choose the correct answer belo…
C. ∠3 and ∠7
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a triangular prism is shown below. the base is a right triangle. what i…
100
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the area of a trapezoid is 70.55 square feet. the length of the bases a…
C. 8.3 ft
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2. the following two figures are similar. write the similarity statemen…
$\triangle ABC\sim\triangle ZYX$
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f(x)=2|x - 4| for each circled number in the picture, use the drop - do…
1) Vertical stretch by a factor of 2 2) Horizontal shift 4 units to the right
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identify a pair of same - side interior angles. choose the correct answ…
C. ∠3 and ∠8
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in the diagram shown, if x + y = 180, label the remaining angle measure…
A.
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show how each vertex of △efg maps to its image. describe in words how t…
A. $\triangle E'F'G'$ is the image of $\triangle EFG$ after a reflection across the line $x = 1$
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1. based on the figure shown, fill in the blanks to make the statements…
1. a. Angle A and angle D are corresponding angles. b. Angle B and angle G are alternate exterior angles. c. Angle C and angle F are alternate interior angles. d. (There is an err…
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geo lesson 2.5 homework 1. based on the figure shown, fill in the blank…
1. a. corresponding b. alternate exterior c. alternate interior d. N/A e. vertical 2. Draw two parallel lines, then a transversal. Mark a 62 - degree angle at one intersection, an…
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7. what is pr? points a, b, c, and d on the figure below are collinear.…
If \(PR\) means \(AC\), then the length is \(4x\). If more information about what \(PR\) represents relative to the given line - segment is provided, a more accurate answer can be…
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figure pqrs is transformed to figure jklm. complete the following state…
$\overline{LM}$ corresponds to $\overline{SR}$; $\angle J$ corresponds to $\angle P$; Figure $PQRS$ is translated to figure $JKLM$; Figure $JKLM$ is translated to figure $PQRS$ us…
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7. what is pr? points a, b, c, and d on the figure below are collinear.…
\(8x-13\)
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look at triangle xyz on the coordinate plane. if triangle xyz is rotate…
Triangle \(X'Y'Z'\) is congruent to triangle \(XYZ\) but does not have the same orientation of the vertices as triangle \(XYZ\)
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error analysis your friend incorrectly says that the reflection of △efg…
D. △E'F'G' is the image of △EFG after a reflection across the line y=-1
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what is the slope of this line?
1
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unit 1 retest: rigid transformations and co look at the graph. which be…
A translation following the rule \((x,y)\to(x - 4,y - 9)\)
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what is the slope of this line?
$2$
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2.3 score: 16.67/19 answered: 17/19 question 18 the volume of a sphere …
$288\pi$ (exact) or $904.779$ (approximate)
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ryan reflects rectangle lmno across the y - axis. which best shows the …
$(x,y)\to(-x,y)$
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7. what is pr? points a, b, c, and d on the figure below are collinear.…
If we assume \(PR\) is a mis - typing and you mean \(AC\), then the length of \(AC\) is 52. If \(PR\) is not a mis - typing and there is some other relationship with the given fig…
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given △abc and its reflection image △abc find the line of reflection. d…
The line of reflection is $y = 2$.
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for exercises 5 - 7, use the figure shown. 5. what is pq? 6. what is qr…
5. \(PQ = 5\) 6. \(QR = 6\) 7. \(PR = 11\)
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figure pqr is transformed using the rule (x, y) → (-y, x). which coordi…
A. (-5,3)
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what is the length of the missing leg? if necessary, round to the neare…
5
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figure j k l m was transformed to create figure jklm. the table shows t…
\((x,y)\to(x, - y)\)
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what is the length of the missing leg? if necessary, round to the neare…
4
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in burlington, the library is due south of the courthouse and due west …
$9.2$
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finding the area of a trapezoid in the coordinate plane complete the st…
# Explanation: ## Step1: Find rectangle dimensions Assume the rectangle has length $l = 12$ and width $w = 10$. Area of rectangle formula is $A = l\times w$. So, $A_{rectangle}=12…
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what is the length of the missing leg? if necessary, round to the neare…
9
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figure efgh is reflected across the x - axis to form figure efgh what a…
$E'(1,2)$ $F'(3,2)$ $G'(3,4)$ $H'(1,4)$
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uv has a midpoint at m(-13, -4.5). point v is at (-9, -18). find the co…
$U=(-17,9)$
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2.3 score: 10.67/19 answered: 11/19 question 12 determine whether a fun…
Is not a function