Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the measures of two angles of a triangle are given. find the measure of…
\(29^\circ\ 23'\)
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relate the volume of the cube to the length of each edge. click the ico…
The edge length of the cube is 7 cm, so the three edge length boxes are all 7, and \( \sqrt[3]{343}=\boldsymbol{7} \). So the filled values are: 7 cm \( \times \) 7 cm \( \times \…
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5 identify the shape.
The shape is a triangle (specifically, it appears to be an equilateral triangle as all sides seem equal in length).
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name the figure below in two different ways.
Symbol: $\overleftrightarrow{}$ $\overleftrightarrow{ES}$ and $\overleftrightarrow{SE}$
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graph a right triangle with the two points forming the hypotenuse. usin…
Leg 1: \(4\), Leg 2: \(2\), Hypotenuse: \(2\sqrt{5}\)
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what is the area of a right triangle 6 centimeters high with a base of …
B. 6 square cm
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which graph represents the solutions to this inequality? 6g + 7 ≤ 55 or…
The top graph (with closed circle at 8 and open circle at 12, arrows up from 8 and down from 12)
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what is the value of d? 34°
# Explanation: ## Step1: Identify angle relationship The two angles (34° and \( d \)) are supplementary? No, wait, they form a linear pair? Wait, no, actually, looking at the diag…
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look at this shape: image of an l - shaped figure on a grid which image…
C. The image labeled C (the L - shaped figure with the same orientation and size as the original, just moved)
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classify each figure as a line, ray, or line segment. then, show how to…
Type: line segment, How to write it: $\overline{AB}$ ### Part (b)
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solve for x.
To solve for \( x \), we recognize that lines \( MN \) and \( OP \) are parallel (since they have the same direction), and line \( KL \) is a transversal. The angles \( (2x + 41)^…
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identify two angles that are marked congruent to each other on the diag…
$\angle TQS \cong \angle TSQ$ (or other valid pair like $\angle TQH \cong \angle TSH$, $\angle HQS \cong \angle HSQ$ etc. depending on the diagram's markings. A common pair is $\a…
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find the measure of the missing angle.
The measure of the missing angle \( a \) is \( 34^\circ \).
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the diagram below is a right rectangular prism. all the angles shown me…
$\overline{PS}$ and $\overline{MQ}$ are parallel (and congruent).
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find the measure of the missing angle.
\( 64^\circ \)
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the radius of a cylindrical water tank is 4 ft, and its height is 9 ft.…
452 cubic feet (\( 452\ ft^3 \))
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sketch an angle θ in standard position such that θ has the least possib…
### Part 1: Choosing the Correct Graph The point \((2, \sqrt{3})\) is in the first quadrant (since both \(x = 2\) and \(y=\sqrt{3}\) are positive). So the terminal side of the ang…
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a center-pivot irrigation system provides water to a sector-shaped fiel…
982
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find the distance between points. 1) a ( 3,4 ) and b ( 7,1 )
5
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given ( m parallel n ), find the value of ( x ). diagram: two parallel …
\( x = 14 \)
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20. if $overline{ef}$ bisects $angle ceb$, $mangle cef = (7x + 21)^circ…
\( 26^\circ \)
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what is this? a) angle b) line segment c) ray d) line
c) Ray
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for the following right triangle, find the side length x. image of righ…
17
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what is the composition of translations ((t_{<-3,4>} circ t_{<8,-7>})) …
\( T_{\langle 5,-3 angle} \) (corresponding to the option \( T_{\langle 5,-3 angle} \))
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what are the corresponding parts of the figures below? select all that …
The correct corresponding parts are \(\boldsymbol{\angle G \cong \angle T}\), \(\boldsymbol{\overline{HI} \cong \overline{QR}}\), and \(\boldsymbol{\angle J \cong \angle S}\). The…
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which dilation is shown by the graph? ( \bigcirc d_{\frac{1}{2}}(wxyz) …
\( D_{\frac{1}{3}}(WXYZ) \) (the second option: \( D_{\frac{1}{3}}(WXYZ) \))
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in the figure below, g is between e and h, and f is the midpoint of \\(…
\( 5 \)
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the rule ( t_{<-6,4>} ) is used for point ( (2,-7) ). where is the tran…
Quadrant III
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find the area of a circle with radius 4 ft. use the value 3.14 for π, a…
The area of the circle is \( 50.24 \) square feet (or \( 50.24\space ft^{2} \)).
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transformations quiz what is the rule used to transform δabc to its ima…
Reflection over the x - axis
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given: g(-2, 8), h(-10, -8) find: gh
\(8\sqrt{5}\)
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find the area of a circle with radius 9 m. use the value 3.14 for π, an…
\( 254.34 \) square meters
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rectangle klmn is rotated 90° clockwise about the origin to form rectan…
The opposite sides of rectangle QRST are parallel because rotations always preserve parallel lines.
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the point m is plotted on the coordinate grid below. plot the point m, …
To plot \( M' \), we find the point with \( x = 3 \) and \( y=-2 \) on the coordinate grid. The coordinates of \( M' \) are \( (3, - 2) \).
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c \\(\\frac{4}{5} + \\frac{3}{10} = 1\\frac{1}{10}\\); f \\(\\frac{7}{9…
To determine which of the given calculations is incorrect, we analyze each one: ### For Calculation C: $\boldsymbol{\frac{4}{5} + \frac{3}{10}}$ Find a common denominator (10): $\…
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look at the above painting. which of the following elements of the pain…
d. All the other people are close together, while the man and woman are spaced out and distanced from the other people.
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here are two polygons on a grid. is polygon pqrst a scaled copy of poly…
I think Polygon \(PQRST\) is not a scaled copy of Polygon \(ABCDE\) because the ratio of the lengths of corresponding sides (e.g., the vertical sides of the rectangular part have …
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what are the vertices of the image after a 90° counterclockwise rotatio…
B. \( B'(-3,-3) \), \( C'(-1,4) \), \( D'(2,0) \)
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suppose the line of reflection is y = 2. what are the coordinates of c’…
\((-3, 5)\) (corresponding to the option: (-3,5))
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and graph the solution on the number line below. -3x < 27 attempt 2 out…
The solution to the inequality \(-3x < 27\) is \(x > -9\). For the number line, we use an open circle at \(-9\) (since \(x\) is not equal to \(-9\)) and shade the region to the ri…
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the scaled copy of a figure is drawn with a scale factor of $\frac{3}{2…
To draw the original figure, I would first determine the dimensions of the scaled copy (from the grid: width 3, height 6). Since the scale factor from original to copy is $\frac{3…
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given: p(-5, -4), q(7, -8) find: pq
\( 4\sqrt{10} \)
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triangle a is a scaled copy of triangle b. the scale factor from a to b…
D. 4
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find: ab; 5√13; given: w(-2, 8), x(-9, 3); find: wx; √74; 3√7; √146
\(\sqrt{74}\)
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find the value of ( x ). the diagram shows two right - angled triangles…
# Explanation: ## Step1: Identify similar triangles The two right triangles are similar (by AA similarity, as they share a vertical angle and both have a right angle). So, the rat…
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find the slope of a line perpendicular to each given line. 11) ( y = -5…
\(\frac{1}{5}\) ### Problem 12: Find the slope of a line perpendicular to \( y=\frac{1}{2}x + 1 \)
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transformations test (topic 4) let k and y be the following sets: k = r…
B. Dilations
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given: e(11, -10), f(-4, -1) find: ef
\(3\sqrt{34}\)
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transformations test (topic 4) the rule ( t_{(3, 2)} ) is used for poin…
Quadrant I
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read the excerpt from the interview with e.y. (yip) harburg. i was walk…
A. While millions of Americans were suffering from the effects of poverty, Hearst remained one of the wealthiest individuals of his time.
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finding angle measures complete the statement given that: ( mangle fhe …
43
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transformations test (topic 4) which of the following describes the eff…
it reflects them across the y - axis
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olve for x and graph the solution on the number line below. -6x > -12 a…
Inequality Notation: \(x < 2\) For the number line: We draw an open circle at \(2\) (since the inequality is strict, \(x\) is not equal to \(2\)) and shade the region to the left …
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the two triangles below are similar. also, m∠f=45° and m∠e=110° as show…
\(m\angle J = 25^\circ\), \(m\angle K = 110^\circ\), \(m\angle L = 45^\circ\)
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1.8 assignment 9 of 12 finding angle measures complete the statement gi…
\( 25 \)
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transformations test (topic 4) quadrilateral abcd is mapped to quadrila…
A dilation from point A by a factor of one - half (the option: "A dilation from point A by a factor of one - half")
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transformations test (topic 4) which of the following is not a rigid mo…
C. dilations
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transformations test (topic 4) if a figure is translated with the rule …
\( T_{\langle 5,-3 angle} \) (the third option among the given choices)
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the two triangles below are similar. also, m∠r=15° and m∠t=110° as show…
\(m\angle D = \boldsymbol{110}^\circ\), \(m\angle E = \boldsymbol{55}^\circ\), \(m\angle F = \boldsymbol{15}^\circ\)
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it is estimated that the novel a land remembered by patrick smith has 5…
5.03 × 10⁵ (Wait, no, 503,000 in scientific notation is 5.03 × 10⁵? Wait, 503,000 = 5.03 × 10⁵? Wait, 503,000: move decimal 5 places left: 5.03 × 10⁵? Wait, no, 503,000 is 5.03 × …
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answer the questions below. (a) the perimeter of a rectangular field is…
\( 26 \) ### Part (b)
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find the slope of a line parallel to each given line. 13) ( y = -x + 5 …
\( -1 \) ### Problem 14: Find the slope of a line parallel to \( x = 3 \)
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the two triangles below are similar. also, m∠z=20° and m∠x=100° as show…
\(m\angle G = \boldsymbol{100}^\circ\), \(m\angle H = \boldsymbol{20}^\circ\), \(m\angle I = \boldsymbol{60}^\circ\)
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△abc and △pqr are similar. find the missing side length.
20
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geometry translations explained! i watched the following transformation…
\( (x - 8, y + 4) \) (the option with this notation)
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△abc and △xyz are similar. find the missing side length. image of two t…
7
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transformations test (topic 4) △abc is rotated 180 degrees clockwise ab…
\( A'(2, -1) \), \( B'(1, -1) \), and \( C'(1, -3) \) (the second option)
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transformations test (topic 4) which words have horizontal reflectional…
A. POP
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7 find the missing angle triangle with 40° and 17° interior angles, ang…
\(57^\circ\) (corresponding to the red option with 57)
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find the missing angle (triangle with angles 75°, 80°, and x; options: …
25 (corresponding to the red option with 25)
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multiple-choice question a horizontal slide moves a figure which way? l…
Left or Right
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find the missing angle. a triangle is shown with two angles labeled 13°…
138
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transformations test (topic 4) consider the line segment defined by poi…
- The \(y\) - values of the endpoints become their opposites. - The length of the reflection of \(\overline{AB}\) is the same as the length of \(\overline{AB}\).
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find the missing angle (triangle with angles 36°, 99°, and x; options: …
45
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what is another word for translation? move slide flip spin
Slide
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find the missing angle (triangle with angles 70°, 35°, and a°; options:…
75
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1 find the missing angle (triangle with angles 70°, 45°, x°) options: 6…
65
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y=-x b(7,1) → b(-1,-7) c(6,-6) → c(6,-6) d(2,-5) → d(5,-2) multiple-cho…
A. is above \( y=-x \)
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find the missing angle (diagram: triangle with angles 88° and 39°, angl…
\(127^\circ\) (corresponding to the green option with 127)
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find the missing angle (triangle with two equal sides, one angle 68°, o…
44
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transformations test (topic 4) the point (1,8) was translated in the co…
a shift of 3 units to the right and 5 units down
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multiple-choice question a translation of (x - 3, y + 4) means shifting…
The correct option (assuming the first option is "shifting 3 units to the right and 4 units up") is: shifting 3 units to the right and 4 units up
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find the distance between the pair of points. n(-2, -13), p(-2, -4) d =…
\( 9 \)
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find the missing angle (triangle with two equal sides, one base angle 6…
44
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36. using the rule (x, y) → (-y, x) find the image points: a: (2, 3) b:…
### Problem 36: Using the rule \((x, y) \to (-y, x)\) to find image points Let's take the given pre - image points (assuming the pre - image points for this problem are the same a…
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find the distance between the pair of points. a(0,2), b(0,8) d = \\squa…
\( 6 \)
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find the missing angle (triangle with angles 77°, 64°, x°; options: 64,…
39
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find the distance between the pair of points. e(7, -4), f(-2,8) d = \\s…
\( \boxed{15} \)
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find the missing angle (triangle with angles 35°, 15°, and x°; options:…
130
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find the coordinate of the midpoint of the segment with the given endpo…
4
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8) diagram: two parallel horizontal lines cut by a transversal (a slant…
\( x = 54 \)
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multiple-choice question since the triangle did not change shape or siz…
congruent
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fill in the blank. the ______ formula for a segment on a number line is…
midpoint
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what are the corresponding parts of the figures below? select all that …
\( \angle L \cong \angle U \), \( \angle M \cong \angle T \), \( \overline{ML} \cong \overline{TU} \), \( \angle N \cong \angle S \) (all the selected options are correct as per a…
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7. taxes and welfare consider the market for designer shoes. the follow…
1. Mark the equilibrium point (intersection of supply and demand) with the black plus symbol. 2. Shade the area under the demand curve, above the equilibrium price, and to the lef…
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find the missing angle (triangle with 42° and a°, options: 90, 96, 138,…
96
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multiple-choice question what notation do you use to show the new trans…
prime notation ### Second Question (Reflection over \( y = x \))
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identify the hypothesis of the conditional. if the figure is a square, …
A. the figure is a square
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fill in the blank. the ______ of a line segment is a ______ exactly hal…
The first blank: midpoint; The second blank: point
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identify the hypothesis of the conditional. if the figure is a square, …
A. the figure is a square