Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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when translating a figure on a coordinate plane, which coordinate is af…
A. The x-coordinate
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what does the word translation mean in math? to change an objects by sl…
A. To change an objects by sliding it
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two right triangles, $\\triangle abd$ and $\\triangle acd$, were create…
$c\sin(B) = h$
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14/40 what is a reflection? when you slide an object form one place to …
When you flip or mirror an object across a line.
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two right triangles, $\\triangle abd$ and $\\triangle acd$, were create…
$\frac{h}{c}$
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what is the area of this figure? 4 in 9 in 13 in 2 in 4 in 2 in 4 in 2 …
60 square inches
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what is the area of this figure? square kilometers submit work it out
$84$ square kilometers
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what is the area of this figure? 4 cm 2 cm 8 cm 2 cm 3 cm 8 cm 4 cm 15 …
92 square centimeters
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9. determine the arc length of $widehat{tv}$. give your answer in terms…
Arc Length = $18\pi$ ft Sector Area = $12\pi$ in$^2$
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what is the area of this figure? 6 cm 4 cm 2 cm 10 cm 6 cm 4 cm $square…
48 square centimeters
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what is the area of this figure? 3 yd 3 yd 8 yd 7 yd 4 yd 11 yd square …
$9 + 44 = 53$ square yards
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$x = \\frac{18}{3} = 6$ 16. find the measure of $m\\angle cab$ $(6x + 1…
$44^\circ$
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4 find the measure of angle b. b = ____ degrees
$60$ degrees
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what is the area of this figure? 3 ft 2 ft 8 ft 3 ft 9 ft 7 ft 4 ft 18 …
$6 + 33 + 72 = 111$ square feet
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what is the area of this figure? 2 mm 3 mm 2 mm 11 mm 6 mm 3 mm 2 mm 7 …
$40$ square millimeters
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what is the area of this figure? 2 km 6 km 3 km 15 km 9 km 5 km square …
57 square kilometers
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can you name the angle pairs and type the correct code? please remember…
AGCD
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15. $overrightarrow{yl}$ is the angle bisector of $angle jyf$. find the…
$x=6$
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what is the area of this figure? 2 cm 4 cm 7 cm 11 cm 7 cm 9 cm square …
$63 + 8 = 71$ square centimeters
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learn with an example or watch a video what is the area of this figure?…
56 square miles
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14. $overrightarrow{mr}$ is the angle bisector of $angle nmp$. find the…
$x = 8$
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8. in the figure shown below, $\triangle ade sim \triangle abc$. compla…
a. $5$ b. $DE$ c. $ACB$
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5. a photograph is 5 inches by 7 inches. ellie is using a copier to enl…
C) 155%
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u is the incenter of $\triangle ghy$. find each measure. 9. $m\\angle u…
9. $m\angle UGM = 28^\circ$ 10. $m\angle PHU = 21^\circ$ 11. $HU = 13$
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9. determine the arc length of $widehat{tw}$. give your answer in terms…
1. Arc Length = $18\pi$ ft 2. Sector Area = $12\pi$ square inches
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which angles are supplementary to each other?$angle 6$ and $angle 3$$an…
$\angle3$ and $\angle5$
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quiz 8.3.3: patterns and lines question 1 what is the equation of the f…
1. B. $y = 7x$ 2. C. $y = -3x$
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question 7 when you use the distance formula, you are building a right …
Question 7: D. hypotenuse Question 8: B. 10 units Question 9: A. 13 units Question 10: B. 8.25 units
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find the distance between the two points on the number line. see exampl…
Distance between 5 and -7: 12 Product of $(-8)(11)$: $-88$
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question 10. if the diagonal of a square is 11.3 meters, approximately …
31.98 meters
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from the given slopes of the lines, identify whether the two lines are …
1) Neither 2) Neither 3) Perpendicular 4) Neither 5) Perpendicular
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question 9. a 35-foot wire is secured from the top of a flagpole to a s…
32.08 ft
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quiz 8.2.3: the distance formulaquestion 1given the coordinates of two …
1. A. True 2. B. False 3. B. False 4. D. $\sqrt{(4 - 7)^2 + (6 + 3)^2}$ 5. C. 10 units 6. D. 11.18 units
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question 8. scott is using a 12-foot ramp to help load furniture into t…
11.48 ft
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4. consider the diagram below. solve for k.
$k = 72$
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12 find the value of x and y. $(3x + 7)^circ$ $(y + 75)^circ$ $(5x - 35…
$x = 21$ $y = 25$
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a rectangle has one vertex at (0,2). after a 90 degrees rotation clockw…
1. (2,0) 2. The figure maps onto itself (no change).
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1. what is the sum of the measures of the interior angles of any triang…
180
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which of the following is true about a reflection over the line $y=x$?○…
1. The coordinates (a, b) become (b, a) 2. (-5,-4)
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if a point (7,2) is reflected over the line $y=2$, what are the coordin…
1. (7, 2) 2. (-4, -3)
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10 find the measure of each angle. ∠3 and ∠4 are complimentary angles. …
$m\angle3 = 25^\circ$ $m\angle4 = 65^\circ$
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4. use pythagorean theorem to find the value of x. if possible, simplif…
$5\sqrt{17}$
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look at this shape: which image shows a reflection? a b c
A. The triangle with the long slanted side on the right
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question 15 (multiple choice worth 1 points) (05.04r mc) what is the sh…
Triangle
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look at this shape: which image shows a rotation? a b c
A. <The light blue shape with the "notch" at the top right, oriented vertically>
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what is the result of translating the point $(-5,6)$ by vector $\\langl…
(-5,-1)
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question 1 10 pts if a point has coordinates (2,-3) and is translated b…
$(6, 2)$
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2) $x=|y+1|$ is this graph a function?
No, this graph is not a function.
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look at this shape: which image shows a translation? a b c
A. The shape matching the original, shifted left
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9 use the diagram to answer the question below. solve for $x$. $x = \\s…
$30$
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box a has a volume of 48 cubic meters. box b is similar to box a. to cr…
384 m³
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identify the cross section of the sphere. assume objects are perpendicu…
D. <The solid brown circle option>
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in circle l with $m\\angle knm = 41^\\circ$, find the $m\\angle klm$.
$82^\circ$
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in circle $n$, $m\\angle mpo = 63^\\circ$. solve for $x$ if $m\\overset…
$x = 31.6$
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identify the cross section of the cylinder. assume objects are perpendi…
C. <The oval/ellipse shape>
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identify the cross section of the tetrahedron. assume objects are perpe…
C. The trapezoid (the third blue shape from the left)
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write the standard form of the equation of the line that is perpendicul…
10. $x + 2y + 6 = 0$ 11. $5x + 2y + 16 = 0$ 12. $4x - 3y + 13 = 0$ --- ### For Question 13:
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in circle $n$, $m\\angle mpo = 63^\\circ$. solve for $x$ if $m\\overset…
$x = 31.6$
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identify the cross section of the tetrahedron. assume objects are perpe…
C. The trapezoid (the third blue shape from the left)
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in circle $t$, $m\\overset{\\frown}{us} = 64^\\circ$. solve for $x$ if …
$14.1$
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identify the cross section of this object. assume objects are perpendic…
B. Two yellow circles
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identify the cross section of the cube. assume objects are perpendicula…
A. Square (the first option, the orange square shape)
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5 fill in the blank 2 points gr.1.5 trapezoid pqrs is shown. find yz. $…
31 units
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question 7 (multiple choice worth 1 points) (02.01r mc) a square has a …
154.14 units²
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in circle $u$, $m\\angle svt = 73^\\circ$. solve for $x$ if $m\\overset…
$x \approx 27.7$
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in circle $m$, $m\\angle lon = 57^{\\circ}$. solve for $x$ if $m\\overs…
$13.9$
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in circle l with $m\\angle knm = 41^\\circ$, find the $m\\angle klm$.
$82^\circ$
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which of the following describes what all rhombi and squares have in co…
A quadrilateral that contains two pairs of parallel sides. A quadrilateral that contains four equal-length sides.
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in circle j with $m\\angle hlk = 21^\\circ$, find the $m\\angle hjk$.
$42^\circ$
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in circle p with $m\\angle nrq = 18^\\circ$, find the $m\\angle npq$.
$36^\circ$
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in circle g with $m\\angle fjh = 63^\\circ$, find the $m\\angle fgh$.
$126^\circ$
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in circle n with $m\\angle mnp = 50^\\circ$, find the $m\\angle mqp$.
$25^\circ$
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in circle e with $m\\angle dgf = 27^\\circ$, find the measure of minor …
$54^\circ$
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in circle e with $m\\angle dgf = 27^\\circ$, find the measure of minor …
$54^\circ$
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which transformation was used on abcd to result in abcd?○ translation 6…
reflection across the x-axis
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in circle j with $m\\angle hjk = 50^\\circ$, find the measure of minor …
$50^\circ$
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if a rectangle is rotated about the y-axis as shown below, what three-d…
Cylinder
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writing equations of parallel and perpendicular lines determine whether…
### Part 1: 1. Parallel 2. Coinciding 3. Perpendicular 4. None of these 5. Parallel 6. Coinciding ### Part 2: 7. $2x + y = 4$ 8. $3x - y = -1$ 9. $3x - 2y = -4$
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8 find the measure of each angle. ∠1 and ∠2 are vertical angles, m∠1 = …
$m\angle1 = 105^\circ$ $m\angle2 = 105^\circ$
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which expression represents the approximate length of $overline{bc}$?○ …
$\frac{(3)\sin(66^\circ)}{\sin(38^\circ)}$ (Option A)
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in circle j with $m\\angle hlk = 43^\\circ$, find the measure of minor …
$86^\circ$
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7 find the measure of each angle.$angle uvw$ and $angle xyz$ are comple…
$m\angle UVW = 12^\circ$ $m\angle XYZ = 78^\circ$
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what is the length of line segment rs? use the law of sines to find the…
2.4 units
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in circle b with the measure of arc $overset{\frown}{ac}=90^circ$, find…
$90^\circ$
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name the highlighted arc.
Arc WFG (or Arc GFW)
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9. determine the arc length of $widehat{tw}$. give your answer in terms…
1. Arc Length = $18\pi$ ft 2. Sector Area = $12\pi$ square inches
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6 find the measure of each angle. find $m\\angle bac$ and $m\\angle cad…
$m\angle BAC = 58^\circ$ $m\angle CAD = 32^\circ$
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question determine the equation of the circle with center $(-6, -2)$ co…
$(x+6)^2+(y+2)^2=97$
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the pythagorean theorem in three dimensions the length of the prism is …
59.5 cm (Option: 59.5 cm)
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apply the pythagorean theorem to determine the height of the square pyr…
15.0 ft (Option: 15.0 ft)
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5 find the measure of each angle. find $m\\angle qrt$ and $m\\angle trs…
$m\angle QRT = 47^\circ$ $m\angle TRS = 133^\circ$
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determine the equation of the circle with center $(-6,-2)$ containing t…
$(x+6)^2 + (y+2)^2 = 97$
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3 what is the solution to the systems of equations below? a two solutio…
B. No Solutions
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is im2b unit 7 task 04 5. consider the following figure. $(3x-15)^\\cir…
$x = 30$
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use a pythagorean triple to find the value of x. 7. 8. 9. 10. 11. 12. e…
7. $x=15$ 8. $x=51$ 9. $x=100$ 10. $x=13$ 11. $x=6$ 12. $x=16$ 13. The dock is $\sqrt{21}$ (or ~4.58) feet high
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is im2b unit 7 task 04 1. select the diagram showing a pair of alternat…
B. <Diagram with two purple angles between two lines, on opposite sides of a transversal>
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4 find the angle measure. $angle 7$ and $angle 8$ are a linear pair, an…
$71^\circ$
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3 find the angle measure. ∠5 and ∠6 are supplementary angles, and $m\\a…
$102$
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b unit 7 task 04 is two-column proof shows that $overleftrightarrow{ac}…
D. $\angle ABD$ and $\angle BDC$ are supplementary, Consecutive interior angles theorem
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for the square pyramid, the lateral edge length, $e$, is 25 in., and th…
23 inches