Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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jake volunteers to help out his younger brothers basketball team in his…
A. 681.47 $\pi$ cubic inches
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ik and ln are parallel lines. which angles are vertical angles? ∠kjm an…
$\angle KJM$ and $\angle IJH$
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plot the point (0, -3). click on the graph to plot a point. click a poi…
On the $y$-axis, 3 units below the origin.
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pythagorean unit practice possible points: 4.35 the width of a rectangl…
D. 12.4 ft
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ce and fh are parallel lines. which angles are corresponding angles? ∠c…
$\angle CDG$ and $\angle FGI$
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the dimensions of a rectangular piece of paper are 8.5 inches and 11 in…
D. 13.9 in
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tv and wy are parallel lines. which angles are corresponding angles? ∠y…
$\angle YXZ$ and $\angle VUS$
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tim is an elementary school art teacher. his students are sculpting a r…
B. 2.47 cm
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find the perimeter and area of the following composite figure: perimete…
Perimeter = 120.0 feet Area = 503.0 square feet
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eg and hj are parallel lines. which angles are vertical angles? ∠hik an…
\(\angle HIK\) and \(\angle JIF\)
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use the midpoint formula to determine the midpoint of the given line se…
$-1.25,2.8$
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select the correct answer. when rectangles are similar?
Rectangles DEFG and VWXY are similar.
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the coordinates of the vertices of a rectangle are a (5, 3), b (5, - 9)…
D. 13.4 units
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pr and su are parallel lines. which angles are corresponding angles? ∠s…
$\angle STQ$ and $\angle RQO$
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an engineer is designing a new drill bit as shown in the diagram. to fi…
B. $2106\pi$ $mm^{3}$
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find the perimeter and area of the figure below. figure is not drawn ri…
$972$
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use the midpoint formula to determine the midpoint of the given line se…
$(-1.25,2.8)$
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qs and tv are parallel lines. which angles are alternate interior angle…
$\angle QRU$ and $\angle VUR$
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pythagorean unit practice parallelogram pqrt is shown. which statement …
B. $8^{2}+15^{2}=TQ^{2}$
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plot the point (1, 0). click on the graph to plot a point. click a poin…
On the given graph, move 1 unit to the right along the x - axis from the origin and mark the point on the x - axis.
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a candlemaker uses 240 cubic centimeters of wax to create a scented can…
A. a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
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a right triangle and two of its side lengths are shown in the diagram. …
B. 37.1 cm
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use the midpoint formula to determine the midpoint of the given line se…
$(0,0)$
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the set designer for a play painted some background scenery on a large …
14
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in the square pyramid shown below, which lines are parallel? k l n m kl…
\(\overleftrightarrow{KL}\) and \(\overleftrightarrow{MN}\)
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the coordinate grid shows $overline{xy}$. which measurement is closest …
B. 11.7 units
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select the correct answer from each drop - down menu. complete the stat…
The ratio of the heights is 3:1. The ratio of the base - areas is 9:1. The ratio of the volumes is 27:1.
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in the cube shown below, which lines are intersecting? options: $overri…
$\overrightarrow{JK}$ and $\overrightarrow{KO}$
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in the rectangular prism shown below, which lines are intersecting? cg …
$\overrightarrow{BF}$ and $\overrightarrow{FG}$
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find the perimeter and area of the figure below. figure is not right an…
The perimeter of the figure is 176 units. The area of the figure is 1224 units².
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the diagram shows three squares that are joined at vertices to form a r…
D. The sum of the areas of Square N and Square L is equal to the area of Square K.
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the coordinates of the endpoints of $overline{qr}$ are $q(8,2)$ and $r(…
D. 5.8 units
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type the correct answer in each box. complete the statement about these…
The circumference of the base of Figure 2 is $2\pi r$ inches and the area of the base of Figure 2 is $\pi r^{2}$ square inches.
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find the perimeter and area of the figure below. figure is not drawn to…
The perimeter of the figure is $156$ units. The area of the figure is $1212$ units².
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use the midpoint formula to determine the midpoint of the given line se…
$(-4,-5.5)$
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the diagram shows squares d, e, and f joined at vertices to form a righ…
C. The sum of the areas of Square D and Square E is equal to the area of Square F.
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in the cube shown below, which lines are skew? select all that apply.
$\overleftrightarrow{EF}$ and $\overleftrightarrow{DH}$, $\overleftrightarrow{IJ}$ and $\overleftrightarrow{CG}$
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for the figure below, give the following. (a) one pair of angles that f…
(a) $\angle1$ and $\angle2$ (b) $\angle1$ and $\angle3$ (c) $\angle1$ and $\angle3$
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type the correct answer in each box. complete the statement about these…
$2\pi$; $\pi$
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point j (-4, -0) and point k (4, 4) are located on a coordinate grid. w…
B. 9 units
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pythagorean unit practice possible points: 4.35 the length of a rectang…
17
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find the perimeter and area of the figure pictured below. image descrip…
Perimeter: 34 Area: 37
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the manager of a car dealership wants to attach a rope with flags to th…
32.5
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in the rectangular prism shown below, which lines are parallel? rv and …
$\overleftrightarrow{RV}$ and $\overleftrightarrow{SW}$
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solve for x and graph the solution on the number line below. -5x - 7 < …
Inequality Notation: $-2<x<7$ Number Line: Draw a number line. Mark an open - circle at $x=-2$ (because $x$ is greater than - 2, not equal to) and an open - circle at $x = 7$ (bec…
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find the distance between the two points in simplest radical form. answ…
1. **Explanation**: - First, assume the two - point formula for the distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\)…
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pythagorean unit practice the diagram represents a ramp in the shape of…
61
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find the perimeter and area of the figure pictured below. 2.5 m 11.8 m …
\(67.34\)
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pythagorean unit practice which measurements could not represent the si…
D. 4 cm, 6 cm, 10 cm
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in the triangular pyramid shown below, which lines are intersecting? se…
$\overrightarrow{KM}$ and $\overrightarrow{KN}$, $\overrightarrow{KL}$ and $\overrightarrow{KN}$
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in the cube shown below, which planes intersect? select all that apply.…
OPS and QRS, MPQ and MNO
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applying the pythagorean theorem #1. layne rode his bike from point a t…
28
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#1. layne rode his bike from point a to b by using cherry street. how m…
28
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select the correct answer. pentagon abcde is similar to pentagon pqrst.…
B. The area of pentagon \(ABCDE\) is 36 times the area of pentagon \(PQRST\)
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in the rectangular prism shown below, which lines are skew? ko and lp k…
$\overleftrightarrow{KN}$ and $\overleftrightarrow{LP}$
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select the correct answer from each drop - down menu. an air - conditio…
60
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in the rectangular prism shown below, which lines are skew?
$\overrightarrow{KO}$ and $\overrightarrow{LP}$
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in the square pyramid shown below, which lines are skew? rt and ru ru a…
$\overrightarrow{RS}$ and $\overrightarrow{TU}$
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in the figure below, (mangle1=(x + 12)^{circ}) and (mangle2 = 5x^{circ}…
$m\angle1 = 25^{\circ}$ $m\angle2 = 65^{\circ}$
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all the edges of the object in the diagram are equal in length. the obj…
A. a square
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in the rectangular prism shown below, which planes intersect? select al…
ADE and BCF, ADE and CDG
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answer each question below. 14. an angle’s measure is 12 less than twic…
14. The measure of the angle is 56. 15. The measure of the angle is 69. 16. $PB = 21$.
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in the figure below, (mangle1 = 4x^{circ}) and (mangle2=(x - 5)^{circ})…
$m\angle1 = 76^{\circ}$ $m\angle2 = 14^{\circ}$
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in the square pyramid shown below, which lines are intersecting? select…
$\overrightarrow{JK}$ and $\overrightarrow{KL}$
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find the distance between the two points in simplest radical form. answ…
\(\sqrt{58}\)
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in the triangular pyramid shown below, which lines are skew? sv and tu …
$\overrightarrow{SV}$ and $\overrightarrow{TU}$
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find the distance between the two points in simplest radical form. (8,2…
$\sqrt{89}$
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a graph of a quadratic function is shown on the grid. which coordinates…
\((1,-2)\)
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6. is △xyz a scale drawing of △rst? explain how you know.
Yes, $\triangle XYZ$ is a scale drawing of $\triangle RST$ because the ratios of the corresponding sides are equal.
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given the figure below, find the values of x and z. (10x + 19)° (15x - …
$x = 21.6$, $z = 145$
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in the figure below, m∠abd = 118°, and m∠2 is 72° more than m∠1. find m…
$23$
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in the figure below, (mangle wxz = 110^{circ}), and (mangle1) is four t…
$22$
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in the figure below, (mangle abd = 89^{circ}), and (mangle 2) is (41^{c…
$24.5$
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directions: underline the simple subjects and draw a box around the sim…
1. Underlined simple subject: The dentist; Box - around simple predicate: charges 2. Underlined simple subject: The baby; Box - around simple predicate: weighed 3. Underlined simp…
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4. in the figures shown, △def is a scale drawing of △abc. a. is △def an…
a. $\triangle DEF$ is a reduction of $\triangle ABC$. b. The length of the side of $\triangle DEF$ that corresponds to side $AB$ in $\triangle ABC$ is $3$. c. The scale factor tha…
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which angles are supplementary angles? ce and fh are parallel lines.
Consecutive interior angles such as $\angle EGD$ and $\angle GHF$, $\angle DGC$ and $\angle GHF$, $\angle EGD$ and $\angle GFC$, $\angle DGC$ and $\angle GFC$
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in the figure below, m∠abd = 76°, and m∠1 is three times m∠2. find m∠2
$19$
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pr and su are parallel lines. which angles are vertical angles? ∠pqt an…
$\angle PQT$ and $\angle STV$
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use the diagrams. name a pair of nonadjacent complementary angles. ∠kjl…
\(\angle FEG\) and \(\angle KJM\)
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hi and ik are parallel lines. which angles are vertical angles? ∠kjg an…
$\angle KJG$ and $\angle IJL$
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writing the equation of a line perpendicular to the y - axis complete t…
The line perpendicular to the $y$-axis through the point $(-4,-2)$ is $y = - 2$. The slope of this line is $0$.
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3. in the following family portraits, figure n is a scale drawing of fi…
a. Figure N is an enlargement of figure M. b. The 5.5 - inch measurement in figure M corresponds with 11 inches in figure N. c. The scale factor is 2.
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eg and hj are parallel lines. which angles are adjacent angles? ∠hik an…
∠HIK and ∠JIK
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yz and wx are parallel lines. which angles are adjacent angles? ∠hik an…
∠HK and ∠JIK are adjacent as they share side IK and vertex I.
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2 is figure b an enlargement or a reduction of figure a? figure a figur…
Figure B is a reduction of figure A.
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qs and tv are parallel lines. which angles are adjacent angles? ∠tuw an…
∠TUW and ∠TUR
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solve the inequality and graph the solution on the line provided. 4x - …
Inequality Notation: $x>-6$ Number Line: An open - circle at - 6 and a line extending to the right.
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ik and ln are parallel lines. which angles are corresponding angles? ∠i…
$\angle IJH$ and $\angle NMO$
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solve the inequality and graph the solution on the line provided. 7 + 8…
$x > - 2$ On the number - line, there is an open circle at - 2 and the line extends to the right.
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gi and jl are parallel lines. which angles are alternate interior angle…
\(\angle{JKH}\) and \(\angle{IHK}\)
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solve the inequality and graph the solution on the line provided. -4x -…
>; $x>-2$ On the number - line, there is an open circle at - 2 and the line is shaded to the right of - 2.
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statement reason 1 $overline{vw}congoverline{xy}$ given 2 $overline{st}…
$\triangle SWY\cong\triangle UXV$
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solve the inequality and graph the solution on the line provided. -3x -…
$\leq$ Inequality Notation: $x\leq - 5$ On the number - line, you would plot a closed circle at - 5 (because the inequality includes equality, i.e., $\leq$) and draw a line to the…
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2. triangle lmn with vertices l(6, 6), m(8, 8), and n(8, 3): a) reflect…
$L'(4,6)$ $M'(2,8)$ $N'(2,3)$ (For the second - part rotation results: $L''=(6,-4)$, $M''=(8,-2)$, $N''=(3,-2)$)
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st has a midpoint at m(8, 6). point t is at (10, 6). find the coordinat…
$(6,6)$
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solve for x and graph the solution on the number line below. \\(\\frac{…
>; $x > - 8$ To graph on the number line, draw an open circle at - 8 (because the inequality is strict, i.e., $x$ is greater than but not equal to - 8) and draw an arrow to the ri…
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1. for each pair of figures, state whether the second figure represents…
a. No, the shapes are not in proportion. b. Yes, the figures are similar and in proportion. c. No, the shapes are not in proportion.
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in the rectangular prism shown below, which lines are skew? (overrighta…
$\overleftrightarrow{IJ}$ and $\overleftrightarrow{EF}$
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solve for x and graph the solution on the number line below. -40 ≥ 4x a…
$\leq$ Inequality Notation: $x\leq - 10$ Number Line: Mark a closed - circle at - 10 (because the inequality includes equality) and shade to the left of - 10.
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refer to the figure. does line n intersect line q? explain.
# Explicación: ## Paso 1: Observar la posición de las líneas Las líneas \(n\) y \(q\) se encuentran en planos paralelos. ## Paso 2: Recordar la definición de líneas en planos para…