Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the trapezoid fghi is a dilation of the trapezoid fghi. what is the sca…
$\frac{3}{2}$
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the rectangle vwxy is a dilation of the rectangle vwxy. what is the sca…
$\frac{4}{5}$
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the points ( i(4,4) ), ( j(1,8) ), ( k(-3,5) ), and ( l(0,1) ) form a q…
slope of $\overline{IJ}$ = $-\frac{4}{3}$ length of $\overline{IJ}$ = $5$ slope of $\overline{JK}$ = $\frac{3}{4}$ length of $\overline{JK}$ = $5$ slope of $\overline{KL}$ = $-\fr…
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2 which of the following equations have the same solution? circle three…
The three equations with the same solution (\(n = 7.5\)) are: - \(2n = 15\) - \(n + 8.4 = 15.9\) - \(-7 + n = 0.5\)
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self - assessment 1 i dont understand yet. 2 i can do it with help. 3 i…
The scale factor from \(\triangle JKL\) to \(\triangle PQR\) is \(\frac{3}{2}\). ### Part (b)
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6 trinomial × binomial (2x^2 - 3x + 1)(x - 4) 7 error analysis a studen…
\(2x^3 - 11x^2 + 13x - 4\) ### Problem 7: Error Analysis
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circumference of a circle find the circumference. round your answer to …
\boxed{4.00} (in mm, rounded to the nearest hundredth)
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8. if ( moverarc{jm} = (10x + 9)^circ ), ( moverarc{nl} = (28x + 17)^ci…
$51^\circ$
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what is the length of the hypotenuse? if necessary, round to the neares…
5.5 centimeters
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what is the length of the hypotenuse? if necessary, round to the neares…
9.5 yards
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1 mm 5 mm what is the length of the hypotenuse? if necessary, round to …
5.1 millimeters
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what is the length of the hypotenuse? if necessary, round to the neares…
7.8 feet
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what is the length of the hypotenuse? if necessary, round to the neares…
Length of hypotenuse: 39 millimeters $\sqrt{100}$: 10
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what is the length of the hypotenuse? if necessary, round to the neares…
82.0 kilometers
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write the formula for the following 3 - dimensional objects. 1) cylinde…
\( V = \pi r^2 h \) (where \( V \) is volume, \( r \) is radius, \( h \) is height) ### 2) Cone Formula
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16 m 12 m what is the length of the hypotenuse? if necessary, round to …
20 meters
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what is the length of the hypotenuse? if necessary, round to the neares…
5 kilometers
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4. two planes take off from the same airstrip. the first plane flies we…
The second plane is farther from the airstrip.
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try it! analyze dilations 2. rectangle wxyz is a dilation with center o…
Las medidas de los ángulos de los dos rectángulos son iguales (todos miden 90 grados, ya que las dilataciones conservan las medidas angulares). Las longitudes de los lados del rec…
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3. capria is planning to fence a triangular plot of land. two of the si…
a. The range for the third side is $260 < x < 720$ yards b. Minimum fencing length: approaches 980 yards (greater than 980 yards); Maximum fencing length: approaches 1440 yards (l…
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2. cain and remy live on the same straight road. from their balconies, …
Cain and Remy are the same distance from the flagpole.
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7. if ( moverarc{cb} = (5x + 41)^circ ), ( moverarc{ad} = (7x - 19)^cir…
$72^\circ$
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section 6-2 practice independent practice 1. list the angles and sides …
### For △RST: Angles (smallest to largest): $\angle T$, $\angle S$, $\angle R$ Sides (smallest to largest): $\overline{RS}$, $\overline{RT}$, $\overline{ST}$ ### For △PQR: Sides (…
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which pairs of figures are congruent? which pairs are similar? congruen…
1. Top-left pair: Congruent? Yes Similar? Yes 2. Top-right pair: Congruent? Yes Similar? Yes 3. Bottom-left pair: Congruent? Yes Similar? Yes 4. Bottom-right pair: Congruent? No S…
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which of the following is a true statement? image of a quadrilateral wi…
\( m\angle BAC > m\angle CAD \) (the option with this statement)
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translate (1, 5) up 2 units. then reflect the result over the y - axis.…
$(-1, 7)$
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equivalent experience_ma.912.gr.1.3_unit 6 two groups of cyclists leave…
Group A is closer.
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reflect (3, -2) over the y-axis. then translate the result to the left …
$(-4, -2)$
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equivalent experience_ma.912.gr.1.3_unit 6 two groups of cyclists leave…
Group A is closer.
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the locations of three friends homes for the triangle shown. what is th…
\( 4 < x < 10 \) (corresponding to the option with this inequality)
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for each set of three lengths, determine if they can be the side length…
| Lengths | Can be side lengths of a triangle | Cannot be side lengths of a triangle | |---------------|------------------------------------|--------------------------------------…
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give a pair of alternate exterior angles, a pair of alternate interior …
(a) Alternate exterior angles: $\angle 2$ and $\angle 7$ (b) Alternate interior angles: $\angle 3$ and $\angle 6$ (c) Corresponding angles: $\angle 2$ and $\angle 6$ *(Note: Other…
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your answer is incorrect. (b): your answer is incorrect. give a pair of…
(a) Corresponding angles: $\angle 1$ and $\angle 3$ (b) Alternate exterior angles: $\angle 1$ and $\angle 8$ (c) Alternate interior angles: $\angle 2$ and $\angle 7$
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give a pair of corresponding angles, a pair of alternate exterior angle…
(a) Corresponding angles: $\angle 1$ and $\angle 3$ (b) Alternate exterior angles: $\angle 1$ and $\angle 7$ (c) Alternate interior angles: $\angle 2$ and $\angle 7$ *Note: Other …
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give a pair of corresponding angles, a pair of alternate interior angle…
(a) Corresponding angles: $\angle 1$ and $\angle 5$ (b) Alternate interior angles: $\angle 3$ and $\angle 5$ (c) Alternate exterior angles: $\angle 1$ and $\angle 7$ *(Note: Other…
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there is a circle, and a triangle outside the circle. the circle has an…
$x = -\frac{7}{4}$
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5. solve for x. (7x - 1)° 65° 161°
$x=7$
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there is a circle in the figure, with a tangent line and a secant line …
$x = \frac{58}{7}$ (or approximately $8.29$)
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a lookout tower sits on a network of struts and posts. leslie measured …
$98^\circ$
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you do: check for understanding find the value of m. a. 3 b. 4 c. 5 d. …
c. 5 --- ### Second Problem (1): Difference between sum of exterior and interior angles of equilateral triangle
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note: assume that all segments ind 1. solve for x. (3x + 23)° 55° 75°
$x = 14$
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given: △lmp, lm ≅ lp prove: ∠m ≅ ∠p proof: statements\treasons 1. let n…
3. Definition of midpoint 4. $\overline{LN} \cong \overline{LN}$ 5. Given
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find the value of each variable. find each unknown measure and describe…
(Top Triangle): $x = 28.75$, $y = 15.625$ --- ### Bottom Quadrilateral (Solve for angles a-e)
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39. mathematical connections the perimeters of the two figures are equa…
The expression for the missing side length is \(6x - 20\).
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which expression can be used to find the surface area of the prism? $(3…
$(3 \cdot 4) + (3 \cdot 3) + (3 \cdot 5) + 2(\frac{1}{2} \cdot 3 \cdot 4)$ (the first expression)
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use the verbal description and graph to answer each question. complete …
\((x, y)\to(y, -x)\) (the third option among the given choices)
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choose the algebraic representation (notation) for translating trapezoi…
\((x,y) \to (x - 5, y + 3)\) (the second option: \((x,y) \to (x - 5, y + 3)\))
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3. choose the correct answer(s). which of the transformations does not …
A. reflections
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2 choose the correct answer(s). which transformations do not preserve o…
A. reflections
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1. choose the correct answer(s). which transformations preserve congrue…
- Reflections - Rotations - Translations - Dilations with a scale factor of 1
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5. quadrilateral efgh is rotated 270° about the origin. draw the image …
1. For Problem 5: - $E'(2, -3)$, $F'(4, -3)$, $G'(4, -1)$, $H'(2, -2)$ 2. For Problem 6: - $C'(2, 3)$, $D'(-2, 5)$, $E'(0, 7)$ 3. For Problem 7: - 16 centimeters
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1. the figure below shows the net of a triangular pyramid. the given he…
43.3 (Wait, but maybe I misread the figure. If the net is a large triangle with a smaller triangle inside, maybe the large triangle is the base and the three smaller ones? No, the…
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read the passage. people often notice that pets and their owners look a…
A. Given that people matched photos correctly more often than not, the similarities between pets and owners likely follow consistent patterns.
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the points ( i(6, -5) ), ( j(8, -2) ), ( k(5, 2) ), and ( l(0, -1) ) fo…
slope of $\overline{IJ}$ = $\frac{3}{2}$ length of $\overline{IJ}$ = $\sqrt{13}$ slope of $\overline{JK}$ = $-\frac{4}{3}$ length of $\overline{JK}$ = $5$ slope of $\overline{KL}$…
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the points ( k(3,2) ), ( l(6,5) ), ( m(3,8) ), and ( n(0,5) ) form a qu…
slope of $\overline{KL} = 1$ length of $\overline{KL} = 3\sqrt{2}$ slope of $\overline{LM} = -1$ length of $\overline{LM} = 3\sqrt{2}$ slope of $\overline{MN} = 1$ length of $\ove…
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the points ( l(1, -4) ), ( m(-2, 2) ), ( n(-9, 6) ), and ( o(-6, 0) ) f…
slope of $\overline{LM} = -2$ length of $\overline{LM} = 3\sqrt{5}$ slope of $\overline{MN} = -\frac{4}{7}$ length of $\overline{MN} = \sqrt{65}$ slope of $\overline{NO} = -2$ len…
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the points u(-7, -7), v(1, -5), w(0, -1), and x(-8, -3) form a quadrila…
slope of $\overline{UV}$ = $\frac{1}{4}$ length of $\overline{UV}$ = $2\sqrt{17}$ slope of $\overline{VW}$ = $-4$ length of $\overline{VW}$ = $\sqrt{17}$ slope of $\overline{WX}$ …
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given np=8.2 and oq=16.3, find the area of rhombus nopq. round your ans…
66.8 square inches
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given km=13.8 and ln=41.4, find the area of rhombus klmn. round your an…
285.7
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find the area of parallelogram mnop. round your answer to the nearest t…
$66.0$ square inches
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find the area of trapezoid bcde. round your answer to the nearest tenth…
184.3 square inches
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question find the area of rectangle ijkl. round your answer to the near…
40.3 square inches
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find the area of parallelogram abcd. round your answer to the nearest t…
The area of parallelogram \( ABCD \) is \( 316.8 \) square inches.
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walkway between the second floor balcony 3. solve for the walkway length
40 feet
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which side of a right triangle is always opposite the right angle? hypo…
Hypotenuse
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“real - world” word problems often have ladders leaning against trees, …
Hypotenuse
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what is the perimeter of a right triangle if the hypotenuse is 15 cm an…
36 cm
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q10*. ______ is 100 more than 5838. q11*. circle the greatest number. 1…
Q10: 5938 Q11: 7100 Q12: 1047 Q13: 5416, 4416 Q14: 3207, 3307
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a fly buzzes four and a half times around kit yans head. the fly ends u…
197.9 cm
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a fly buzzes four and a half times around kit yan’s head. the fly ends …
197.9 cm
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which two triangles are congruent? complete the congruence statement. (…
\( \triangle FGH \cong \triangle XWV \)
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8) spicy! a rectangle has a length of (x) inches and a width of (x + 11…
a) $x^2+8x+15$ b) $x^2+11x$ c) $5$
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#6 application word problem: read problem! you are building a rectangul…
a) $\boldsymbol{w = \frac{x^2 + 14x + 33}{x + 11}}$ b) $\boldsymbol{x + 3}$ c) $\boldsymbol{4x + 28}$ d) Length: $\boldsymbol{64}$ feet, Width: $\boldsymbol{56}$ feet
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the figures below are similar. the labeled sides are corresponding. wha…
5:1
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using the pencil, plot the reflection of point a across the y-axis.
The reflection of point A across the y-axis is the point at coordinates $(-4, 6)$, which is plotted 4 units left of the y-axis and 6 units above the x-axis.
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using the pencil, plot the reflection of point a across the y - axis.
The reflected point is at $(-4, 6)$, plotted 4 units left of the y-axis and 6 units above the x-axis.
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using the pencil, plot the reflection of point a across the y-axis.
The reflection of point A across the y-axis is the point at coordinates $(-7, 0)$, plotted on the grid at the position 7 units left of the y-axis on the x-axis.
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8. write a formula for the surface area s of a cube in which each side …
\( S = 6x^2 \) ### Question 9
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$\\overline{rs} \\parallel \\overline{qt}$. find $qr$. $qr = \\square$
22
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the right triangle below is dilated by a scale factor of 5. find the pe…
Perimeter of given right triangle: \(40\) units Perimeter of dilated right triangle: \(200\) units Area of given right triangle: \(60\) units² Area of dilated right triangle: \(15…
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$\\overline{hi} \\parallel \\overline{gj}$. find $fi$.
51
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$\\overline{wx} \\parallel \\overline{tv}$. find $vw$.
34
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all squares are rhombi. * true false all rhombi are squares. * true fal…
True ### Question 2: All rhombi are squares.
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all squares are rectangles. * true false all rectangles are squares. * …
True ### 2. All rectangles are squares.
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5. 6. mp justify arguments if one gallon of paint covers 350 square fee…
### Problem 5 (Triangular Prism Surface Area) # Explanation: ## Step 1: Identify the formula for the surface area of a triangular prism The surface area \( SA \) of a triangular p…
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multiple choice $overleftrightarrow{ab}$ and $overleftrightarrow{cd}$ i…
5
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solving problems with right triangles: mastery test match each sine or …
- $\sin(32^{\circ})\longleftrightarrow\cos(58^{\circ})$ - $\sin(43^{\circ})\longleftrightarrow\cos(47^{\circ})$ - $\cos(74^{\circ})\longleftrightarrow\sin(16^{\circ})$ - $\cos(57^…
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which pair of angles x and y are supplementary?\ \\( m\\angle x = 76 \\…
$m\angle x = 113$, $m\angle y = 67$
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Question was provided via image upload.
1. 20 2. 10
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in the figure below, $overleftrightarrow{cd}$ intersects $overleftright…
70°
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which pair of angles x and y are supplementary? m∠x = 113 m∠y = 67 m∠x …
A. $m\angle x = 113$, $m\angle y = 67$
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in the accompanying diagram, (overrightarrow{bd} perp overleftrightarro…
110
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challenge #1 fill in the missing words last thing to do is find the mea…
angle 2 is $\boldsymbol{160}$ degrees and we can also see in the triangle that another angle is $\boldsymbol{38}$ degrees. We know that if we add all of the angles in a triangle t…
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details 1. complete the activity below, answering all of the questions.…
Since we know the measure of angle 1 is 120 degrees, then we know the measure of angle 2 because angle 1 and angle 2 are vertical angles which means that they are the same measure…
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details 1. complete the activity below, answering all of the questions.…
Since we know the measure of angle 1 is 120 degrees, then we know the measure of angle 2 because angle 1 and angle 2 are vertical angles which means that they are the same measure…
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find the area: use 3.14 for π image of a circle with radius 3 cm multip…
28.26 cm²
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challenge #1 fill in the missing words since we know the measure of ang…
60, vertical, 60
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challenge #1 fill in the missing words since we know the measure of ang…
60, vertical, 60
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1. complete the activity below, answering all of the questions. 2. when…
1. 180 2. 60 3. angles 4. 60 5. 120
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details 1. complete the activity below, answering all of the questions.…
1. vertical 2. 38° and 41° 3. sum 4. interior 5. 180