Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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which sentence uses an apostrophe correctly in a plural possessive noun…
The United States' national anthem is "The Star - Spangled Banner." The basketball players' lockers will be cleaned out on Friday.
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in each graph. 2. slope m = ____________ y - intercept b = ____________
slope $m=-\frac{1}{2}$ y - intercept $b = 2$
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describe how the figure moved from one frame to the next. frame 1 frame…
To get from Frame 2 to Frame 3: translate right To get from Frame 3 to Frame 4: reflect To get from Frame 4 to Frame 5: rotate counterclockwise 90° To get from Frame 5 to Frame 6:…
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the figure below shows the angles formed by intersecting lines l and m.…
D. $m\angle1 + m\angle3=m\angle2 + m\angle4$
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the figure below is dilated by a factor of $\frac{1}{2}$ centered at th…
Plot the points $(-3,0),(-2,-2),(2,-2),(2,3),(-1,2)$ and connect them to form the dilated figure.
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14. suppose c is between a and b. solve for x. explain your reasoning f…
$x = 2.4$
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determine the value for b assuming that the two horizontal lines displa…
B. 29.00
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ma→⊥ap→. if m∠map=(14x - 22)°, solve for x.
\(x = 8\)
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lines j and k are parallel. they are intersected by the transversals l …
C. \(87^{\circ}\)
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1. slope m = ________ y - intercept b = ________
slope $m = 1$ y - intercept $b = 3$
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lines m and n are parallel. they are intersected by the transversals, p…
A. 52 (because the angle x is corresponding to the 52° angle formed by the parallel lines m and n with transversal p)
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in the figure below, parallel lines a and b are intersected by a transv…
Angle 1 and angle 8 are congruent because of the alternate exterior angles theorem.
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in the figure below, parallel lines a and b are intersected by a transv…
Angle 1 and angle 8 are congruent because of the alternate - exterior angles theorem.
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16. find the measure of the angle. then classify the angle as acute, ri…
a. ∠AHB: 132°, obtuse b. ∠EGF: acute c. ∠DFB: 47°, acute d. ∠FEG: 26°, acute e. ∠EHA: 59°, acute f. ∠EFB: 89°, acute g. ∠CDF: 81°, acute h. ∠HAB: 8°, acute i. ∠FEB: 36°, acute
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the graph shows the vertices of a triangle. determine the area of the t…
33
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which angles are congruent to ∠7? why are they congruent to ∠7? select …
B. ∠6 because vertical angles are congruent D. ∠3 because corresponding angles are congruent
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solve for x. round to the nearest tenth, if necessary.
$14.6$
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solve for x. round to the nearest tenth, if necessary. answer attempt 1…
$4.1$
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solve for x. round to the nearest tenth, if necessary. answer attempt 2…
$2.1$
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11. given m∠cba = 90°. claudia claims that ∠abd and ∠cbd must have the …
(a) Tools: Protractor. Claudia is wrong because \(\angle ABD\) and \(\angle CBD\) do not have to have the same measure as long as their sum is \(90^{\circ}\). (b) Erika is correct…
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latonya is preparing her garden for the spring and wants to cover all o…
16
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in the figure, m∠7 = 100°. find the measure of ∠2.
$100^{\circ}$
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solve for x. round to the nearest tenth, if necessary.
$7.5$
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find the value of tan c rounded to the nearest hundredth, if necessary.
\(3.43\)
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#18: the midpoint of ab is m(2,-3). one endpoint is a(-5,4). what are t…
#18: $(9,-10)$ #19: $14.9$
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9. if gi bisects ∠dip and m∠dig = 65°, what is m∠pig and m∠dip? explain!
$m\angle PIG = 65^{\circ}$ and $m\angle DIP = 130^{\circ}$
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the figure below is dilated by a factor of $\frac{1}{4}$ centered at th…
Plot the points \(A'(\frac{3}{2},-2)\), \(B'(1,2)\) and \(C'(-2,1)\) and connect them to get the dilated figure.
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express cos x as a fraction in simplest terms.
$\frac{3}{5}$
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#16: find the mid - point of line segment qr. find the mid - point of $…
2
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13 a) $(x,y)\to(x + 2,y + 4)$ b) $\begin{pmatrix}-2\\-4end{pmatrix}$ 15…
$(9,-2)$
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use the graph to determine the length of segment zd. enter the coordina…
14
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a designer for a flooring company is laying out a pattern for a hardwoo…
A. \(a = 52\) B. \(b = 52\) C. \(c = 52\) D. \(f=128\)
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#15: x = your answer #15: m∠abd = your answer #15: m∠dbc = your answer …
$x = 11$ $m\angle ABD = 44$ $m\angle DBC = 46$ $m\angle ABC = 90$
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find the value of cos t rounded to the nearest hundredth, if necessary.…
$0.28$
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when building a house, sabrina wants to know how much rain will run off…
1450
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question 2. in each diagram below, line r is parallel to line s. in whi…
B
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use the graph to determine the length of segment zd. enter the coordina…
14
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∠rsl and ∠lst are a linear pair. find the value of x and each missing a…
$x = 25$ $m\angle RSL=142^{\circ}$ $m\angle LST=38^{\circ}$
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5. the base of a triangle is $\frac{2x^{2}+5x - 3}{x^{2}-x - 12}$ and t…
$\frac{x + 1}{2(x - 4)}$
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geo 4.0 angles read the passage and answer the following question(s). q…
A. Corresponding Angles Postulate
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express tan b as a fraction in simplest terms. answer attempt 1 out of …
$\frac{3}{4}$
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#13: determine which statements are true. select all that apply. ∠hkg a…
$\angle HKG$ and $\angle GKF$ are adjacent angles; $\angle JKH$ and $\angle EKF$ are vertical angles; $\angle JKD$ and $\angle DKF$ are complementary angles; $\angle DKE$ and $\an…
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which segment is adjacent to ∠z? answer (overline{kz}) (overline{mk}) (…
$\overline{KZ}$
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7. $overline{bd}$ bisects $angle abc$, $mangle abd=(4x - 2)^{circ}$, $m…
$156^{\circ}$
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the figure below is dilated by a factor of 4 centered at the origin. pl…
Plot the points $(-4,0)$, $(8,0)$, $(0,8)$, $(4,-8)$, $(-8,4)$ and connect them to form the dilated figure.
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which segment is opposite to ∠w? answer
$\overline{SV}$
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#12: x = your answer this is a required question #12: m∠mnq = your answ…
$x = 38.2$ $m\angle MNQ=134.8^{\circ}$ $m\angle QNP=45.2^{\circ}$
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13 a) (x,y)→(x + 2,y + 4) b) (-2 4) 15. p(1, -2) is the image of p afte…
$(9,-2)$
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which segment is opposite to ∠z? answer zp zh ph
C. $PH$
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e is the midpoint of df. find the value of x and each missing length. #…
$x = 11$ $DE = 35$ $EF = 35$ $DF = 70$
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e. m 90° n o ∠____ is a ____ angle f.
$\angle MNO$; right
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the figure below is dilated by a factor of $\frac{3}{4}$ centered at th…
Plot the points \((-3,0)\), \((-3,3)\) and \((3,0)\) and connect them.
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let jl = 24. find x and the missing segment lengths. #8: x = _____ * yo…
$x = 5$ $JK = 17$ $KL = 7$
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solve the right triangle shown in the figure. b = 15.1°, b = 35.5 a = 7…
$A = 74.9^{\circ}$, $a\approx132.07$, $c\approx136.28$
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2. rebecca hiking slope = \\frac{rise}{run}=____ unit rate = ____ mi/h
slope $=\frac{10}{5}$; unit rate $=2$
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select a pair of opposite rays. r s t rs st rt ts
\(\overrightarrow{ST}\) and \(\overrightarrow{TS}\) (assuming Option 2 is \(\overrightarrow{ST}\) and Option 4 is \(\overrightarrow{TS}\))
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which segment is adjacent to ∠h?
Segment HG
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name two planes that intersect at $overleftrightarrow{cd}$. plane abc p…
plane ABC, plane GHD
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in building a house, sabrina wants to know how much water will run off …
1450
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the slope of a graph. find the slope of the graph and the unit r 1. sco…
slope \(=\frac{1}{2}\), unit rate \(=\frac{1}{2}\) mi/h
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find the perimeter and area of the rectangle with vertices (-3, 0), (1,…
Perimeter: 18 units Area: 20 square units
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44: use the figure at the right to find all the true statements. select…
Points S, Q, and N are collinear. Plane A could also be named plane QNP. Points M, N, and R are coplanar.
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the graph shows the endpoints of one side of a regular pentagon. determ…
$106.05$
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a (-12,16) o (3,1) d = \\sqrt{(-15)^{2}+(15)^{2}} d =
$15\sqrt{2}\approx21.21$
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152 chapter 3 functions and graphs exer. 17 - 18: write equations of th…
The equations of the lines are $y=\frac{5}{4}x-\frac{11}{2}$ and $y=-\frac{4}{5}x-\frac{7}{5}$
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youre the coach of a kids soccer team and your first game is coming up …
167.35
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calculating perimeter and area using the distance formula game is comin…
$36.34556$
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solve the right triangle shown in the figure. a = 57.2°, c = 56 a. what…
$a\approx47.13$, $b\approx30.28$
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7. trapezoid orst with vertices o(2, 1), r(2, 5), s(4, 5) and t(8, 1) 9…
7. $Q'(1,-2)$, $R'(5,-2)$, $S'(5,-4)$, $T'(1,-8)$ 8. (No point $N$ coordinates given, can't provide specific answer but use rule $(x,y)\to(y,-x)$) 9. (No point $N$ coordinates giv…
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given: ℓ ∥ m; n ∥ p prove: ∠2≅∠4 statements: reasons: ℓ ∥ m ∠10 ≅ ∠14 n…
The reasons for the statements in the two - column proof are: - For $\ell\parallel m$: Given - For $\angle10\cong\angle14$: Given - For $n\parallel p$: Given - For $\angle2\cong\a…
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1. find the distance between the two points. x (-3, -2) and y (-6, 5) √…
$\sqrt{58}$
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find the area and perimeter of the rectangle with vertices (1, - 5), (-…
Area: 20 square units Perimeter: 18 units
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lines l and m are parallel lines cut by the transversal line t. which a…
$\angle3$, $\angle5$, $\angle7$
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in the image shown, line n is a transversal cutting parallel lines l an…
80°
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the length of a rectangle is twice its width. if the perimeter of the r…
length: 16 in width: 8 in
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if oq and rt are parallel lines which statement is true? a. ∠rsp≅∠rsu b…
A. ∠RSP ≅ ∠OPS
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angles and parallel lines. if qq and rt are parallel lines which statem…
A. $\angle OPS\cong\angle RSU$
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the image shows parallel lines cut by a transversal. the expressions re…
6
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answer the questions below. (a) the perimeter of a rectangular parking …
(a) 89 m (b) 77 m
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lines a and b are parallel. what is the measure of ∠8 if ∠1 measures 11…
D. 110°
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lines cut by a transversal the lines a and b are parallel. identify a p…
110°
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find the length of the third side. if necessary, round to the nearest t…
24
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lines cut by a transversal. the lines a and b are parallel. identify a …
$110^{\circ}$
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lines l and m are parallel lines cut by the transversal line t. which a…
B. ∠5
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lisa wants to replace a glass window in her restaurant. the window is i…
343
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find the distance between the two points rounding to the nearest tenth …
$7.2$
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the quadrilateral shown is a rhombus. what is m∠2? a 28° b 32° c 58° d …
58°
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is the following conditional true? if a triangle is equilateral, then a…
no
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the quadrilateral shown is a rectangle. what is m∠zwx? a 39° b 59° c 61°
B. $59^{\circ}$
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which of the following are true of the parallelogram? a opposite sides …
A. Opposite sides are congruent B. Opposite angles are congruent D. Diagonals bisect each other E. Diagonals form 2 congruent triangles
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quadrilateral jklm is a rhombus. find the missing values. m∠1 = m∠2 = m…
$m\angle1 = 42^{\circ}$ $m\angle2 = 42^{\circ}$ $m\angle3 = 90^{\circ}$ $m\angle KLM = 84^{\circ}$
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directions: graph and label each figure and its image. give the coordin…
1. $A'(-2,-6)$, $B'(-6,-7)$, $C'(-5,-3)$, $D'(-1,-2)$ 3. $F'(8,7)$, $G'(1,1)$, $H'(4,8)$ 5. $W'(6,-7)$, $X'(3,-6)$, $Y'(1,-3)$, $Z'(7,-1)$
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is the following conditional true? if a polyhedron has six faces, then …
no
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name area of a trapezoid period date 1) a= 2) a= 3) a= 4) a= 5) a= 6) a…
1. $77$ square feet 2. $8$ square miles 3. $24$ square mm 4. (Can't be determined) 5. (Can't be determined) 6. (Can't be determined) 7. (Can't be determined) 8. (Can't be determin…
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a rectangular lot is 110 yards long and 75 yards wide. give the length …
width = 35 yards length = 150 yards
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the image shows parallel lines cut by a transversal. the expressions re…
$x = 6$
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find the distance between the two points rounding to the nearest tenth …
$10$
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identify the hypothesis and the conclusion. then rewrite the conditiona…
The hypothesis is an angle is 107°. The conclusion is the angle is obtuse. If an angle is 107°, then the angle is obtuse.
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name______ period______ date______ area of a trapezoid 1) a = ______ 2)…
1. $99$ square feet 2. $8$ square miles 3. $28$ square mm
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find the area of this rectangle.
$\frac{5}{24}$