Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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use the given information to prove that $\\angle 4 \\cong \\angle 3$. y…
Step 4 Statement: \( \angle 8 \cong \angle 4 \) Step 4 Reason: Alternate Interior Angles Theorem (because \( \overline{HJ} \parallel \overline{FG} \), and \( \overline{FB} \) is t…
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abcde ~ uqrst. find cd and de.
$CD = 20$ $DE = 20$
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point q is located at (3, -1) on the coordinate plane. point q is refle…
\((-3,-1)\)
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△wxy ~ △efd. what are m∠w and m∠d? m∠w = \\square° m∠d = \\square°
$m\angle W = 75^\circ$ $m\angle D = 48^\circ$
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question point a is located at $(-2, -1)$ on the coordinate plane. poin…
\(A'(2, - 1)\)
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uvwx \\sim hgfi. find ux and uv.
$UX = 40.5$ $UV = 20.25$
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question point h is located at (1, -2) on the coordinate plane. point h…
\(H'(1,2)\)
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what is the relationship between $\\angle a$ and $\\angle b$? choose 1 …
A. Vertical angles
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what mathematical term describes the relationship between a dilated obj…
A. Similar
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$\\triangle cde \\sim \\triangle xwy$. find $ce$ and $de$.
$CE = 1$ $DE = 1$
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question point m is located at (5, -1) on the coordinate plane. point m…
\((-5, - 1)\)
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$\\triangle ijk \\sim \\triangle qrs$. find $ij$.
36
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which category of transformations preserves the size and shape of the o…
B. Congruent Transformations D. Rigid Transformations
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the perimeter of a picture frame is 28 inches. if the width of the pict…
The length of the picture frame is 8 inches.
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△uvw ~ △cdb. what is m∠w? m∠w = \\square° submit work it out not feelin…
$59^\circ$
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point c is located at (3, -6) on the coordinate plane. point c is refle…
\(C'(-3,-6)\)
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$\\triangle qrs \\sim \\triangle fde$. find $qr$. $qr = \\square$
$QR = 3$
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which type of transformation changes the size of an object while preser…
Dilation
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point d is located at (3, -4) on the coordinate plane. point d is refle…
\(D'(-3,-4)\)
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what transformation involves turning an object around a fixed point? ro…
Rotation
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$\\triangle bcd \\sim \\triangle hij$. what is $m\\angle i$? $m\\angle …
$53$
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what is the line called over which an object is flipped during a reflec…
Line of reflection
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which transformation creates a mirror image of an object across a line?…
Reflection
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△opq and △rpn are shown below. which statement is true? △opq is similar…
$\triangle OPQ$ is similar to $\triangle RPN$.
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△abc and △def are shown below. which statement is true? △abc is similar…
△ABC is similar to △DEF.
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what is the relationship between \\(\\angle m\\) and \\(\\angle n\\)? c…
B. Complementary angles
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two triangular prisms are similar. the perimeter of each face of one pr…
The surface area of the larger prism is 4 times the surface area of the smaller prism. (Corresponding to the option: The surface area of the larger prism is 4 times the surface ar…
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the base of a solid right pyramid is a regular hexagon with a radius of…
\( 6x^{2}\sqrt{3} \) units\(^{2}\) (corresponding to the option: \( 6x^{2}\sqrt{3} \) units\(^{2}\))
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△mno and △opq are shown below. which statement is true? △mno is similar…
$\triangle MNO$ is similar to $\triangle OPQ$.
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find the distance between the points a and b given below. (that is, fin…
4.47
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what type of transformation involves sliding an object without changing…
B. Translation
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△klm and △nop are shown below. which statement is true? △klm is similar…
There is not enough information to determine whether the triangles are similar.
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△ceg and △def are shown below. which statement is true? △ceg is similar…
$\triangle CEG$ is not similar to $\triangle DEF$.
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transformations translation reflection rotation start 0:00 multiple cho…
Trigonometry, calculus
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to perform a rotation, what two pieces of information are necessary? - …
Center and angle of rotation
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an oblique cylinder is shown. which represents the volume of the cylind…
\( 300\pi \) (corresponding to the option "300π")
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en este problema usarás una regla para estimar la longitud de \\(\\over…
\( 5 \) (The answer may vary depending on the actual measurement, but 5 is a common estimate for a 3 - 4 - 5 right - triangle hypotenuse)
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a solid right pyramid has a regular hexagonal base with an area of 5.2 …
\(\boldsymbol{\frac{1}{3}(5.2)h\space cm^{3}}\) (the third option: \(\frac{1}{3}(5.2)h\space cm^{3}\))
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1 based on the passage, what is the most likely difference between perr…
A. The Grimms’ version is more violent. ### Question 2
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△cde and △fgh are shown below. which statement is true? △cde is similar…
$\triangle CDE$ is similar to $\triangle FGH$.
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a decorative tile is in the shape of a square. it is made up of a small…
The total area of the decorative tile is \( \boldsymbol{b^2 + 16b + 64} \) square centimeters.
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△jkl and △mno are shown below. which statement is true? △jkl is similar…
There is not enough information to determine whether the triangles are similar.
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△rst and △vut are shown below. which statement is true? △rst is similar…
$\Delta RST$ is not similar to $\Delta VUT$.
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21) rotation 90° counterclockwise about the origin
The coordinates of the rotated figure are: $U'(0,0)$, $W'(1,3)$, $V'(4,3)$
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△bcd and △fed are shown below. which statement is true? △bcd is similar…
△BCD is similar to △FED.
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△mkl and △ijk are shown below. which statement is true? △mkl is similar…
There is not enough information to determine whether the triangles are similar.
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△mno and △pqo are shown below. which statement is true? △mno is similar…
$\triangle MNO$ is similar to $\triangle PQO$.
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23) rotation 180° about the origin
The coordinates of the rotated triangle are $V'(4,-2)$, $X'(3,-2)$, $W'(4,-4)$
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△rst and △uvt are shown below. which statement is true? △rst is similar…
△RST is not similar to △UVT.
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how much longer is the envelope than the stamp? 0 1 2 3 4 5 6 7 8 9 10 …
12 centimeters
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△qrs and △ust are shown below. which statement is true? △qrs is similar…
$\triangle QRS$ is not similar to $\triangle UST$.
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what is the relationship between ∠m and ∠n? choose 1 answer: a vertical…
B. Complementary angles
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how much longer is the boat than the tricycle? 0 1 2 3 4 5 6 7 8 feet 5…
B. 4 feet
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△lmn and △pqr are shown below. which statement is true? △lmn is similar…
$\Delta LMN$ is not similar to $\Delta PQR$.
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△fgh and △ijk are shown below. which statement is true? △fgh is similar…
△FGH is similar to △IJK.
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18) rotation 180° about the origin
The coordinates of the rotated triangle are $E'(0, 2)$, $F'(-3, 0)$, $G'(-5, 5)$. When plotted, these form the 180° rotation of $\triangle EFG$ about the origin.
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are these triangles similar? f e g triangle with angle at f 56°, angle …
yes
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zoe is packaging a gift to send in the mail. a smaller gift box is plac…
198.264 cubic centimeters
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part 1 of 2 allie is playing basketball. she takes a shot 25 ft away fr…
a. \( -\frac{1}{10} \) b. 2 feet
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find missing angles quick check in a geometric diagram, ∠a and ∠b are c…
$\boldsymbol{60^\circ}$ (Option: $\boldsymbol{\bigcirc 60^\circ}$)
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15) reflection across x = 1
The coordinates of the reflected triangle are $V'(2,2)$, $W'(1,4)$, $X'(-3,2)$
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are these triangles similar? yes no
yes
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find missing angles quick check (1 point) there are two supplementary a…
C. $132^\circ$
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find missing angles quick check there are angles whose measures add to …
82°
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find missing angles quick check two angles ∠1 and ∠2 in a diagram are s…
$\boldsymbol{x^\circ + 77^\circ = 180^\circ}$ (corresponding to the option: $x^\circ + 77^\circ = 180^\circ$)
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find missing angles quick check there are two complementary angles, ∠5 …
$\boldsymbol{m\angle 6 + 39^\circ = 90^\circ}$
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the triangles are congruent by the sss congruence theorem. which rigid …
B. reflection, then translation
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how was althualpa executed by the spanish? burned at the stake thrown o…
C. strangled
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14) rotation 180° about the origin
The coordinates of the rotated triangle are $H'(-2, -3)$, $J'(-2, 0)$, and $I'(-5, -4)$. When plotted, these points form the 180° rotation of $\triangle HIJ$ about the origin.
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we know that angle 1 is congruent to angle 3 and that line a is paralle…
B. \( \angle 1 \cong \angle 2 \)
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a skyscraper has a triangular window with an area of 42 square meters. …
### Part 1: Choosing the Correct Equation # Explanation: ## Step 1: Recall the area formula for a triangle The area \( A \) of a triangle is given by \( A = \frac{1}{2} \times \te…
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consider the diagram. what is qs? 2 units. 5 units. 17 units. 33 units.
17 units.
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this image has rotational symmetry. what is the smallest number of degr…
$60^\circ$
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this image has rotational symmetry. what is the smallest number of degr…
$180$
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which expression can be used to determine the length of segment zy? \\(…
\(\sqrt{8^2 + 3^2}\) (the second option)
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a cylinder with a base diameter of x units has a volume of $\\pi x^3$ c…
B. The area of the cylinder's base is \(\frac{1}{4}\pi x^{2}\) square units. E. The height of the cylinder is \(4x\) units. (Assuming the options are labeled as A: The radius of t…
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cedric applied the rule ( r_m circ r_{p, 30^circ}(x, y) ) to figure wxy…
He applied the reflection to the pre-image first. He used an incorrect angle of rotation around point P.
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triangle def was tranformed to create triangle def. complete the statem…
B. point E'.
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point e is drawn on the graph so that line ef is parallel to line cd. i…
-8
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rectangle abcd is the image of rectangle abcd after it has been transla…
\(\boldsymbol{(-1,-2)}\), \(\boldsymbol{(7,1)}\), \(\boldsymbol{(-1,1)}\), \(\boldsymbol{(7,-2)}\)
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given: ab = 12 ac = 6 prove: c is the midpoint of \\(\\overline{ab}\\).…
transitive (of equality)
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$\\overrightarrow{fe}$ is tangent to the circle at $e$. $\\overrightarr…
$m\angle EFG = 82^\circ$
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33 graph the solution to the inequality $-2|x - 5| + 7 > 3$
The solution is $3 < x < 7$, graphed as an open interval on the number line with open circles at 3 and 7, and the segment between them shaded.
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27. you examine a contemporary dna sculpture. you use a cardboard squar…
(Problem 27): The height of the sculpture is approximately \( \boldsymbol{12.4} \) ft (or depending on the correct proportion, maybe \( 11.4 \) ft, but with the given numbers and …
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$\\overleftrightarrow{wx}$ is tangent to the circle at $y$. find the me…
$90.5$
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which is precisely defined using the undefined terms point and plane? c…
A. circle
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what is the contrapositive of the statement? all squares are rectangles…
D. If a figure is not a rectangle, then it is not a square.
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which rule describes the composition of transformations that maps $\\de…
$T_{-6,\ -2} \circ r_{x-axis}(x, y)$
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a solid right pyramid has a square base with an edge length of s units …
\(\frac{1}{3}s^{2}h\) units\(^3\) (the option corresponding to this expression)
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what is the rule for the reflection? $r_{x\\text{-axis}}(x, y) \\to (-x…
$\boldsymbol{r_{y-axis}(x,y) \to (-x,y)}$
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what is the rule for the reflection? $r_{x\\text{-axis}}(x,y) \\to (-x,…
$\boldsymbol{r_{y-axis}(x, y) \to (-x, y)}$
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question 2 of 5 (1 point) | question your answer is incorrect. domain: …
Domain: $\{-2, 2, 4\}$ Range: $\{-3, 2, 4\}$
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graph the image of $\\triangle ghi$ after the following sequence of tra…
The vertices of the image of $\triangle GHI$ are $G'(-9, -7)$, $H'(-7, -13)$ and $I'(-3, -7)$. To graph the image, plot these three points and connect them to form the triangle.
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based on the diagram, can point d be the centroid of triangle acf? expl…
No, the ratio between AD and DE is 3:1.
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an oblique cylinder has a radius of 10 units and slant length of 26 uni…
2,400π cubic units
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point o is the incenter of δabc. what is m∠qbo? (3x − 15)° (2x + 6)° (4…
12°
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11. \\(\frac{9}{10}\\) mi, \\(1\frac{1}{5}\\) mi, \\(1\frac{2}{5}\\) mi…
$3\frac{1}{2}$ mi
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introduction drag the black dots to the following points: (4, -7) (-6, …
To solve the drag - and - drop task: 1. For the point \((4, -7)\): Start at the origin \((0,0)\). Move 4 units to the right along the \(x\)-axis (because \(x = 4\) is positive) an…
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which statements regarding $\\triangle efg$ are true? select three opti…
- \(EF + FG > EG\) - \(EG + FG > EF\) - \(EG - FG < EF\)
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what is the approximate volume of the oblique cone? use $\\pi \\approx …
235.5 cubic units (Option: 235.5 cubic units)