Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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does a² + b² = c² hold true for this right triangle? a = 8 b = 5 c = √8…
Yes, $a^2 + b^2 = c^2$ is true for this right triangle.
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which angles are adjacent angles? ∠mnk and ∠jki ∠mnk and ∠jkn ∠mnk and …
$\angle MNK$ and $\angle JKN$
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b. trapezoid klmn is rotated 180° clockwise about the origin to create …
For trapezoid KLMN rotated 180° clockwise about the origin: $(x,y)\to(-x,-y)$ For parallelogram PQRS translated 2 units to the right and 3 units down: $(x,y)\to(x + 2,y-3)$ For pa…
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which angles are adjacent angles? ∠mnk and ∠jki ∠mnk and ∠jkn ∠mnk and …
$\angle MNK$ and $\angle JKN$, $\angle MNK$ and $\angle ONK$
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finally, think of side c. c is $sqrt{89}$? what is $c^{2}$? in other wo…
89
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perimeter, area, and volume finding the area of a rectilinear figure ma…
18 square feet
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np and qs are parallel lines. which angles are corresponding angles? ∠p…
∠POM and ∠SRO
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keep going with side b. b is 5. what is $b^{2}$? in other words, what i…
25
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qs and tv are parallel lines. which angles are supplementary angles? ∠v…
$\angle VUR$ and $\angle VUW$
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what is the height of triangle jkl when the base is side jk? enter an e…
$\frac{14}{5}$
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start with side a. a is 8. what is a²? in other words, what is the area…
64
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gi and jl are parallel lines. which angles are corresponding angles? ∠i…
\(\angle IHK\)和\(\angle LKM\)
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what is the perimeter of triangle def? round your answer to the nearest…
\(13.29\)
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gi and jl are parallel lines. which angles are adjacent angles? ∠lkm an…
∠LKM and ∠JKM
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solve the problems below. show all work. a. triangle def is translated …
A. $(x,y)\to(x - 3,y + 5)$ C. $(x,y)\to(x - 2,y+3)$ E. $(x,y)\to(y,-x)$
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a cylinder is sliced perpendicular to the base. what 2 - dimensional sh…
4. C. rectangle 5. C. triangle
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what is the perimeter of triangle def? round your answer to the nearest…
13.29
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solve the inequality (2>2x + 5). graph the solution on a number - line …
The solution written in interval notation is $(-\infty,-\frac{3}{2})$. The correct graph is the one with an open - circle at $-\frac{3}{2}$ and an arrow pointing to the left. (Bas…
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the table shows the number of customers who use two cell - phone carrie…
rectangle
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is (overrightarrow{tu}) parallel to (overrightarrow{vw})? explain. no, …
yes, because both lines have a slope of $\frac{2}{3}$
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line se is represented by the equation y=-x - 13. determine the equatio…
Slope of line SE ($m_1$): $-1$ Slope of line GP ($m_2$): $1$ Point - slope form of line GP: $y + 10=x + 4$
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line se is represented by the equation y=-x - 13. determine the equatio…
$y=x - 6$
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review the key concept from the lesson. then answer the questions to he…
1. Subtracting integers using additive inverses. 2. Integers. 3. \(b - a\) 4. The additive inverse of a positive number is negative; Additive inverses have a sum of 0; Subtracting…
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solve the inequality. graph the solution on a number line and represent…
The solution written in interval notation is $(\frac{15}{7},\infty)$. The correct graph is the one with an open circle at $\frac{15}{7}$ and an arrow pointing to the right. (Based…
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line wn is perpendicular to line tr. line tr is represented by the equa…
The equation of line WN in slope - intercept form is \(y=x + 7\)
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3. calculate the area of each shape. show all your work and label your …
a) The area of the triangle is 54. b) The area of the trapezoid is 221.
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a box has a volume of 27 cubic feet. assuming the box is a cube, what i…
9
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there are two cubes. the first cube has a volume of 1,000 cubic units. …
125
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a large square has an area of 81 square units. another, smaller square …
9
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complete the proof that △efj≅△hgi. statement reason 1 ij≅fg given 2 ej≅…
7. Reason: Transitive Property of Equality 8. Reason: SSS (Side - Side - Side congruence criterion)
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find the value of x. x =
$16$
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complete the proof that △efj≅△hgi. statement reason 1 ij≅fg given 2 ej≅…
6. Substitution Property 7. Transitive Property of Equality 8. SSS Congruence Postulate
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28 multiple choice 1 point benny earns $12 per hour as a lifeguard. he …
C.
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which number line best represents the solution to the problem below? -x…
The number - line with a closed circle at - 24 and an arrow pointing to the right.
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find the value of x. (2x + 9)° (7x)° x =
\(9\)
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which number line represents the solution to the problem below? 2x + 20…
The number - line with an open circle to the left of 12 and an arrow pointing left.
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find the value of x. 74° (2x - 5)° 31° x =
$24$
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which equation can be used to solve for x in the following diagram? cho…
C. \(7x + 11x = 90\)
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look at the diagram. which equation can be used to solve for x? 6x = 52…
方程：$6x + 90 = 138$ $x = 8$
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which equation can be used to solve for x in the following diagram? cho…
B. $(5x + 30)+5x = 90$
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look at the diagram. which equation can be used to solve for x? 2x - 14…
The equation is \(2(x - 14)=90\), \(x = 59\)
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which equation can be used to solve for x in the following diagram? (3x…
D. $(3x + 12)+x = 180$
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which equation can be used to solve for x in the following diagram? cho…
C. \(60=(4x - 20)\)
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∠x and ∠y are supplementary angles. ∠y measures 88°. what is the measur…
$92$
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points a, b, c, d are collinear and ac = 16 units. what is x? what is a…
$x = 3$ $AB = 10$ $BD = 14$ $CE = 17$
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∠a and ∠b are complementary angles. ∠a measures 44°. what is the measur…
$46$
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∠x and ∠y are supplementary angles. ∠y measures 49°. what is the measur…
$131$
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look at the diagram. which equation can be used to solve for x? 8x = 66…
The equation is \(5x + 3 = 66\), \(x = 12.6\)
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(angle a) and (angle b) are complementary angles. (angle a) measures (5…
$35$
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look at the diagram. which equation can be used to solve for x? 8x = 66…
The equation to solve for \(x\) is \(5x + 3=66\), and \(x=\frac{66 - 3}{5}=\frac{63}{5}=12.6\)
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∠x and ∠y are supplementary angles. ∠y measures 139°. what is the measu…
41
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line dr is represented by the equation y = -x - 5. determine the equati…
$y=x - 2$
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∠a and ∠b are complementary angles. ∠a measures 28°. what is the measur…
$62$
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michelle wants to buy a shirt that costs $28. she has saved $20 and has…
1. Does Michelle have enough money to buy the shirt? 2. 20, - 12 3. First way: Add savings and store - credit and compare with shirt cost. Second way: Subtract store - credit from…
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complementary and supplementary angles (no visual) ∠x and ∠y are supple…
$115^{\circ}$
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find the value of x. x =
$6$
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name two planes that intersect in qr in the figure to the right. choose…
D. plane RSW and plane RVU
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what is the measure of ∠x? angles are not necessarily drawn to scale. 5…
$37$
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find the value of x. a d (x - 12)° b (x - 12)° (x - 12)° e c x =
\(72\)
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what is the measure of ∠x? angles are not necessarily drawn to scale. 2…
$61$
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look at the diagram. which equation can be used to solve for x? 8x + 42…
The equation is \(8x + 42 = 122\), \(x = 10\)
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use a two - dimensional model and the dimensions provided to calculate …
circumference = $22.6$ cm area = $40.7$ cm²
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look at the diagram. which equation can be used to solve for x? 3x + 96…
The equation is \(3x + 96 = 111\), \(x = 5\)
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what is the measure of ∠x? angles are not necessarily drawn to scale.
$28$
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a postulate states that any three noncollinear points lie in one plane.…
noncoplanar
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look at the diagram. which equation can be used to solve for x? 5x + 25…
The equation is $5x + 25 = 145$, and $x = 24$
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line ql is represented by the equation y = x + 1. line gn is parallel t…
Slope of Line QL ($m_1$): 1 Slope of Line GN ($m_2$): 1 Point - Slope Form of Line GN: $y+2=x$ (or $y=x - 2$)
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find the midpoint of the segment with the given endpoints. (-8,0) and (…
$(1,-1)$
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the parallelogram shown below has an area of 54 units². find the missin…
$6$
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look at the diagram. which equation can be used to solve for x? 8x + 90…
$13.625$
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the parallelogram shown below has an area of 120 units². find the missi…
10 units
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the parallelogram shown below has an area of 21 units². find the missin…
3
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if angle abc = 70 degrees then find the value of x (3x + 15)° (x + 7)°
$x = 12$
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use the figure to determine the intersection of planes abc and adh. cho…
A. $\overleftrightarrow{AD}$
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look at the diagram. which equation can be used to solve for x? 8x + 90…
方程：$8x + 71 = 180$ $x = 13.625$
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the parallelogram shown below has an area of 60 units². find the missin…
6
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in the diagram, m∠acb = 62. find m∠ace. m∠ace = □°
$28$
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the perimeter of the figure is 26 cm. figure not drawn to scale. what i…
$5$ cm
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look at the diagram. which equation can be used to solve for x? 5x + 30…
The equation is \(5x + 60 = 180\), \(x = 24\)
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∠rqt is a straight angle. what are m∠rqs and m∠tqs? m∠rqs = (square^{ci…
$m\angle RQS = 101^{\circ}$ $m\angle TQS = 79^{\circ}$
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find the slope and y - intercept of the line shown below. what is the s…
A. The slope is \(-\frac{1}{2}\)
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the triangle below has a perimeter of 27 cm. what is the length of one …
9 cm
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line vw is perpendicular to line ze. line ze is represented by the equa…
$y=-x - 8$
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look at the diagram. which equation can be used to solve for x? 18x = 9…
The equation is \(8x + 10 = 90\), \(x = 10\)
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find a missing side length when given perimeter a regular hexagon has a…
6
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what is the orthographic drawing of the isometric drawing at the right?…
A.
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use the angle addition postulate to find the measure of the unknown ang…
4. \(m\angle TMF = 90^{\circ}\) 5. \(m\angle XLV = 142^{\circ}\)
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the perimeter of the figure is 52 m. 16 m 15 m 17 m? m what is the leng…
\(4\) m
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what is the distance between (-5, -6) and (-3, -8)? choose 1 answer: a …
D. $\sqrt{8}$
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line vw is perpendicular to line ze. line ze is represented by the equa…
The slope of line ZE is $1$, the slope of line VW is $-1$, and the point - slope form of line VW is $y + 6=-(x + 2)$
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look at the diagram. which equation can be used to solve for x? 22x + 9…
$4x + 18 = 90$, $x = 18$
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100 + 5x + 38 = 168 mplify: 138 + 5x = 168 - 138 - 138 5x = 30 - 5 - 5 …
For the first part: \(x = 6\); for the second part: \(x = 18\)
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what is the distance between the following points? choose 1 answer: a 6…
C. $\sqrt{72}$
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oscar has a map of the campground where he is staying. the scale shows …
The number to multiply each length on the map by to find the actual distance is $\frac{1}{2}$. The actual distance from Oscar's campsite to the general store is 1.5 miles.
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look at the diagram. which equation can be used to solve for x? 11x - 6…
The equation is \(11x - 6 = 71\), \(x = 7\)
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the figure on the right is a scaled copy of the figure on the left, tho…
Corresponding side to $ED$: $ST$ Scale factor: $\frac{1}{2}$
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use the diagram at the right. is the statement true? ∠2 and ∠4 are adja…
No
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sonya wants to sew ribbon along each side of a square pillow. if the pi…
48
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name read the problem below. then answer the questions to identify the …
The decimal equivalent of the fraction $\frac{15}{22}$ is $0.6\overline{81}$; Underlined information as described above; Circled word "decimal"; Chosen statement "All rational num…
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point m is the mid - point of vw. find the length of vm. vm = 4x - 1, v…
15