Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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select the correct location on the number line. which point on the numb…
The point on the number - line closest to 200 represents the approximate volume.
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solve for x and graph the solution on the number line below. -2 ≤ -x + …
Inequality Notation: $1 < x\leq6$ Number - Line: Draw a number line. Mark a open - circle at 1 (since $x>1$) and a closed - circle at 6 (since $x\leq6$). Then shade the region bet…
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which angles are vertical angles? ∠rsq and ∠rsv ∠rsq and ∠wvx ∠rsv and …
$\angle RSV$ and $\angle TSQ$
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which angles are consecutive interior angles? ∠nol and ∠klo ∠nol and ∠m…
\(\angle NOL\) and \(\angle KLO\)
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select the correct answer. a rubber gasket has a circumference of 3.2 c…
A. 6.4 cm
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use the midpoint formula to determine the midpoint of the given line se…
$(1.75,1.625)$
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which angles are alternate exterior angles? ∠nmk and ∠lmp ∠qpr and ∠lmk…
$\angle LMP$ and $\angle OPR$
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use the midpoint formula to determine the midpoint of the given line se…
$(1.75,1.625)$
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which angles are vertical angles? ∠lkh and ∠lkm ∠lkh and ∠jkh ∠lkh and …
$\angle LKH$ and $\angle JKM$
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drag each statement to the correct location on the table. classify the …
- $288\pi$: a cone with a radius of 12 units and a height of 6 units, a sphere with a diameter of 12 units, a cylinder with a diameter of 8 units and a height of 18 units - $972\p…
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a satellite launch rocket has a cylindrical fuel tank. the fuel tank ca…
B. $\frac{4V}{\pi a^{2}}$
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question ∠1 and ∠2 are vertical angles. if m∠1=(3x + 22)° and m∠2=(7x -…
\(x = 11\)
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when three squares are joined at their vertices to form a right triangl…
C
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which angles are adjacent angles? ∠wvx and ∠uvx ∠wvx and ∠tsq ∠wvx and …
$\angle WVX$ and $\angle UVX$
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which angles are alternate exterior angles? ∠lkn and ∠jkn ∠lki and ∠onp…
$\angle LKI$ and $\angle ONP$
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natasha walked from the library to the grocery store and then to her ho…
D. 1.9 mi
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for the upcoming holiday season, dorothy wants to mold 20 bars of choco…
E. 180
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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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which angles are vertical angles? ∠kjh and ∠ijh ∠lmo and ∠nmo ∠nmo and …
$\angle KJH$ and $\angle IJM$
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the coordinates of the vertices of the triangle shown are p (2, 13), q …
13
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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…
∠STV and ∠PQT
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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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an engineer is designing a new drill bit as shown in the diagram. to fi…
B. $2106\pi$ $mm^{3}$
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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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question 2 (multiple choice worth 2 points) (area of polygons and compo…
168 $cm^{2}$
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the coordinate grid shows $overline{xy}$. which measurement is closest …
B. 11.7 units
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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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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 $0$.