Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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triangles rqs and ntv have the following characteristics: right angles …
No, it is necessary to know that another set of corresponding sides is congruent.
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write and solve two - step inequalities (homework) solve each inequalit…
The solution of the inequality \(4x + 15\leq27\) is \(x\leq3\). On a number line, we draw a closed circle at 3 (because the inequality includes equality) and shade to the left of …
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how can a translation and a rotation be used to map △hjk to △lmn? trans…
Translate $H$ to $L$ and rotate about $H$ until $\overline{HK}$ lies on the line containing $\overline{LM}$.
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value: 1 find the slope of ab. a (-4,1) b(-1,3) c (3,1) d(1,-1) a. 2/3 …
A. 2/3
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how can △wxy be mapped to △mnq? translate vertex w to vertex m, then re…
$\overline{WY}$
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describe the pattern. each regular polygon has one more side than the p…
Each regular polygon has one more side than the previous figure.
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value: 1 is point z the mid - point of $overline{xy}$? $x(-2.4,3)$ $z(1…
B. No. The midpoint of $\overline{XY}$ is $(1.2,2.8)$ (Note: There is a calculation error in option B, the correct mid - point is $(0.9,2.8)$ but among the given options, the answ…
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which of these triangle pairs can be mapped to each other using a singl…
There is not enough information provided in the question (only partial images of triangle pairs are shown). We need to see all the given triangle pairs to determine which one can …
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problem 7 part 1: spiral review here is an unlabeled rectangle and seve…
B, E, H
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select the counterexample that shows that the conjecture is false. conj…
Both angles could be right angles.
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a triangle in the coordinate plane has vertices r(-2, 2), s(1, -1), and…
$6 + 3\sqrt{2}$
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given △abc and its reflection image △abc find the line of reflection. d…
The line of reflection is $x = 4$.
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blem 6 on a blueprint, the living room is 2.1 inches wide. the blueprin…
1.4 inches
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if cd bisects ∠acd, what additional information could be used to prove …
\(\triangle ACD\) is isosceles with base \(AD\), \(CD = 52\mathrm{cm}\)
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find a single expression that represents the area of the outer ring of …
A. \(18x^{2}-12x - 6\)
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the side length of the square shown is tripled. 3 cm which percent of i…
The percent of increase for the area is greater. It is 600% greater.
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which rigid transformation would map △aqr to △akp? a rotation about poi…
a rotation about point A
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two rigid transformations are used to map △hjk to △lmn. the first is a …
a rotation about point H
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2. a triangle in the coordinate plane has vertices d(-5, 8), e(-2, 3), …
$\sqrt{34}+8$
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a right triangle has a 30° angle. the leg adjacent to the 30° angle mea…
14.4 in.
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underline the main verb in each sentence. circle the helping verb. 1. n…
1. Helping verb: will, Main verb: eat 2. Helping verb: is, Main verb: walking 3. Helping verb: are, Main verb: sleeping 4. Helping verb: had, Main verb: gone 5. Helping verb: have…
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suppose line h is the line with equation y = - 1. given a(7, - 4), b(6,…
$A'(7,2)$ $B'(6,-6)$ $C'(-1,4)$
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underline the main verb in each sentence. circle the helping verb. 1. n…
1. Main verb: eat; Helping verb: will 2. Main verb: walking; Helping verb: is 3. Main verb: sleeping; Helping verb: are 4. Main verb: gone; Helping verb: had 5. Main verb: run; He…
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suppose line g is the line with equation y = x. given a(9, - 5), b(6,4)…
$A'(-5,9)$
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find the slope between the two points. then identify the line that has …
B. $y = 3x-2$
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8. does the graph below have an inverse? why? 9. use the graph of f(x) …
8. Yes. Because the function passes the horizontal line test (is one - to - one). 9. To graph the inverse, take points on \(y = f(x)\), swap \(x\) and \(y\) coordinates and plot t…
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the vertices of △abc are a( - 5,4), b( - 2,3), and c( - 4,2). if △abc i…
$(-4,-4)$
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value: 1 find the slope between the two points. then identify the line …
A. $y=\frac{1}{4}x + 3$
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find the surface area and volume of a sphere where the diameter is 14
Surface area: $196\pi$, Volume: $\frac{1372\pi}{3}$
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a side of the triangle below has been extended to form an exterior angl…
\(54^{\circ}\)
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the cuboid oabcdefg is such that oa = 8, oc = 9, and od = 4. a lies on …
1. (8,9,0) 2. (0,0,4) 3. $\sqrt{161}$ 4. (4,$\frac{9}{2}$,2)
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find the area and perimeter of the triangle below. select the two answe…
a. $A = 12.5$ e. $P=16.2$
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the cuboid oabcdefg is such that oa = 8, oc = 9, and od = 4. a lies on …
1. (8,9,0) 2. (0,0,4) 3. $\sqrt{161}$ 4. (4,$\frac{9}{2}$,2)
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a side of the triangle below has been extended to form an exterior angl…
$115$
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a building in a downtown business area casts a shadow that measures 88 …
55
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answer attempt 1 out of 2 $x = $ submit answer
\(x = 8\)
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find the perimeter of the quadrilateral. round to the nearest tenth if …
b. 17.8
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answer attempt 1 out of 2 $x = $ submit answer
$x = 22$
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 24\)
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find the perimeter of the quadrilateral. round to the nearest tenth if …
C. 21
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highlight the hypothesis by selecting the words in the conditional stat…
Hypothesis: two lines form vertical angles Conclusion: they intersect
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find the area of the quadrilateral. a. 24 b. 8 c. 10 d. 20
A. 24
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value: 2 find the perimeter of the quadrilateral. o a. 24 o b. 6 o c. 1…
d. 20
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use the given line and the point not on the line to answer the question…
D. (0, -2)
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interactive practice: perform and describe transformations involving di…
\(A''(4,-2)\), \(B''(4,-8)\), \(C''(8,-8)\), \(D''(8,-2)\)
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jose guajardo practice! justify each statement below using a property o…
7. Transitive Property of Congruence 8. Subtraction Property of Equality 9. Substitution Property of Equality 10. Definition of Midpoint 11. Definition of Congruence 12. Subtracti…
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29. a contractor is building a patio in the shape of a square. the pati…
A. about 30 ft
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a. draw the rectangle(s) you can make using two squares.
A rectangle with length twice the side length of the squares and width equal to the side length of the squares (formed by placing two squares side by side).
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what is the midpoint of $overline{mn}$ with endpoints $m(9, - 2)$ and $…
B. $(3.5,-4)$
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the formula for the midpoint between two points $(x_1,y_1),(x_2,y_2)$ i…
C. (-3,0)
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look at this diagram: if (overleftrightarrow{bd}) and (overleftrightarr…
$129$
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an equilateral triangle has perimeter $p$. the length of one side is $\…
D. $\frac{1}{3}P$
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segment $overline{rt}$ has endpoints r(-3, 4) and t(-7, -3). what are t…
B. (-5, 0.5)
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question 1 - 3 δabc has vertices a(-2, 1), b(3, 2) and c(5, -1). what a…
A. A'(2, -1), B'(-3, -2), C'(-5, 1)
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what composition of transformation is being demonstrated in the graph b…
Rotation $180^{\circ}$ around the origin, then reflection across the $y$-axis.
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segment $overline{rt}$ has endpoints r(1, 1) and t(-7, -2). what are th…
B. (-3,-0.5)
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question 1 - 3 △abc has vertices a(-2, 1), b(3, 2) and c(5, -1). what a…
A. $A'(2,-1),B'(-3,-2),C'(-5,1)$
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look at this diagram: if $overleftrightarrow{oq}$ and $overleftrightarr…
$46$
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practice describing single rigid transformations in the coordinate plan…
1. a. Reflect figure A across the y - axis to map it onto figure A'. b. A rotation would not map figure A onto figure A'. Rotation changes the orientation of a figure, and figure …
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4. it is estimated that over twenty million pounds of candy corn are so…
The US candy industry has significant production and sales of candy corn, Tootsie Rolls, and an extremely large production of chocolate each year. An appropriate title: The Vast S…
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which coordinate for points a and b would help prove that lines ab and …
A':$(p,m)$ and B':$(z,-w)$
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find the angles marked with small letters in the diagrams below.
$49^{\circ}$
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look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarr…
$63$
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choose the notation below that describes the translation. (x,y)→(x - 3,…
\((x,y)\to(x - 3,y - 4)\)
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the formula for the mid - point between two points $(x_1,y_1),(x_2,y_2)…
A. $(6.5,6)$
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using the equation a = 3r² and records areas of circles with different …
The relation is a function because each input (radius) corresponds to exactly one output (area).
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which of the following describes the transformation from △abc→△abc? ref…
90° counterclockwise rotation, then reflection over x - axis
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look at this diagram: if $overleftrightarrow{fh}$ and $overleftrightarr…
$111$
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look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarr…
$67$
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look at this diagram: if $overleftrightarrow{bd}$ and $overleftrightarr…
$66$
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problem 1 ali and kiana buried a treasure together on their schools fie…
1 inches to 50 feet 2 inches to 100 feet
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look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarr…
$61$
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look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarr…
$59$
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list the coordinates of the vertices of figure abcd. original after dil…
$C'(3,-8)$
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a scalene triangle is given with side lengths $(2x^{2}+3),(1 + 4x)$ and…
B. $5x^{2}+4x + 6$
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statements reasons $mparallel n$ given $mangle1 = 120^{circ}$ $angle5co…
Corresponding angles of parallel lines are congruent.
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list the coordinates of the vertices of figure abcd. original after dil…
$A'(1,-2), B'(1,-8), C'(3,-8), D'(3,-2)$
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a regular hexagon has side length 3x + 5. select all of the expressions…
A. \(18x + 30\), E. \(6(3x + 5)\)
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details no additional details were added for this assignment. $m\\angle…
Linear Pair Postulate
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a dart is thrown randomly and lands within the square below. find the p…
B. 0.11
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additional details were added for this assignment. statements reasons m…
$m\angle6 = 60^{\circ}$
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a dart is thrown randomly and lands within the square below. find the p…
B. 0.26
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the figure below has a point marked with a large dot. first, translate …
Point in original figure: $(a,b)$ Point in final figure: $(a - 6,b)$
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write the equation of the line using the dropdowns.
$y = 70$
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identifying points on a parallel line which points could be on the line…
(-3,5), (3,2), (5,1)
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a dart is thrown randomly and lands within the square below. find the p…
b. 0.26
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leila uses the photo app to resize a photo of her dog, represented by f…
$(-4,8)$
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4 mm × 4 mm × 4 mm = (square) (mm^{3})
64
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what is the area of triangle ghj? 12 square units 7 square units 6 squa…
6 square units
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are the slopes below parallel, perpendicular, or intersecting? line a: …
Perpendicular
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in this figure, $overline{ab}paralleloverline{cd}$ and $mangle4 = 85^{c…
$85$
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what is the area of parallelogram abcd? 25 square units 16 square units…
20 square units
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given a || b, and c is not parallel to a or b, which statements must be…
\(m\angle8 = m\angle9\), \(m\angle4 = m\angle8\)
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question 4 is the graph of this equation a horizontal line, a vertical …
horizontal line
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kayoko is making a garden that is 4 feet wide and 10 feet long. she dig…
A. 240
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in quadrilateral abcd, $overline{ab}paralleloverline{cd}$ and $mangle2 …
$35$
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slope from two points name: use the following story to answer questions…
The slope of the line passing through the points $(5,6)$ and $(2,8)$ is $-\frac{2}{3}$. To graph the line, plot the two points and draw a straight - line through them. To validate…
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bonus 16. find ml n 110 + 4x x + 103 70 m l k x + 243 bonus 17. find ge…
$ML = 110.5$, $GE=\frac{782}{7}\approx111.71$
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what is the area of triangle abc? 11 square units 7 square units 3 squa…
7 square units
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in this figure, $overline{ab}paralleloverline{cd}$ and $mangle1 = 110^{…
$110$