Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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7. 8. 9. 10. 11. 12.
\(a = 15\), \(b = 8\) ### Problem 8 (Parallelogram, Opposite Sides Equal)
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what is ( mangle dfc )? ( \bigcirc ) ( 45^circ ) ( \bigcirc ) ( 80^circ…
\(80^\circ\) (corresponding to the option with 80°)
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in the diagram, which angles are vertical angles? select two options. $…
B. $\angle ABE$ and $\angle CBD$ D. $\angle ABC$ and $\angle EBD$
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find the value of each variable in each parallelogram. 3. 4. 5. 6.
\( x = 38 \) ### Problem 4:
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what is $m\\angle mhj$? \\bigcirc $35^{\\circ}$ \\bigcirc $50^{\\circ}$…
\(50^\circ\) (Option: 50°)
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use a trigonometric ratio to solve for d. round to two decimal places a…
\( d \approx 12.93 \)
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solve and graph the inequality. -169 ≤ 8m - 9
The solution to the inequality is \( m \geq -20 \). To graph this, we draw a number line, place a closed circle at \(-20\) (since the inequality is "greater than or equal to"), an…
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find the measure of angle d in degrees. round to two decimal places as …
\( d \approx 14.48^\circ \)
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what combination of transformations is shown b translation, then reflec…
translation, then reflection
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what combination of transformations is shown below? rotation, then refl…
translation, then reflection
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which are vertical angles? ○ ∠afe and ∠bfd ○ ∠bfc and ∠dfe ○ ∠afe and ∠…
A. $\angle AFE$ and $\angle BFD$
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a rectangle measuring 2 feet long by 5 feet wide has its length and wid…
1. The area is four times larger than originally. 2. 13 cents
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given: ( mangle orp = 80^circ ) ( mangle orn = (3x + 10)^circ ) prove: …
\(\boldsymbol{\angle ORP}\) and \(\boldsymbol{\angle ORN}\) are a linear pair
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given $m\\parallel n$, find the value of x.
$12$
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$\\triangle abc$ is a dilation image of $\\triangle abc$. which is the …
B. center \( C \) and scale factor 2 (assuming the options are labeled, but in the given options, the correct one is "center \( C \) and scale factor 2")
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m∠srw = \\boxed{\\space}°
\(85\)
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the diagram shows $\\triangle qtr$ and $\\triangle uts$. in the diagram…
The reason for $\triangle QTR\sim\triangle UTS$ is the **SAS (Side - Angle - Side) Similarity Criterion** (since two sides are in proportion $\frac{QT}{TR}=\frac{UT}{TS}$ and the …
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circle d is shown in the diagram below. ∠abc has measure (3x + 2)° and …
\( x = 20 \)
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ruler quiz vii part i put the appropriate measurement to match each let…
To solve the ruler measurement problems, we analyze each part: ### Part I (Top Ruler, A=0, 1 and 2 are in inches, assuming each inch has 16 fractions): 1. **B**: From A (0) to B, …
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ruler quiz ⅶ part i put the appropriate measurement to match each lette…
To solve the ruler measurement problems, we analyze the ruler markings (assuming a standard inch ruler with 16[SSE onError error]
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wxyz is a dilation image of wxyz. which is the correct description of t…
a reduction with scale factor 1/2
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f = f 7 e 14 e ○ center f and scale factor 3 ○ center f and scale facto…
A. center \( F \) and scale factor 3
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solve the compound inequality for x and identify the graph of its solut…
D. Solution: $x \leq -4$ or $x > 4$
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find the measure of the missing angle. answer attempt 1 out of 2 a = ° …
$49$
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which statement is true about the given information? options: - ( bd = …
\( \overline{BD} \cong \overline{CE} \) (the third option)
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linear equations and linear systems problem 1: here is an equation: 2x …
Problem 1: One Solution Problem 2: No Solution
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3. find the value of ( x ) and the measure of ( angle a ).
\(x = 1\), and the measure of \(\angle A\) is \(25^\circ\)
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what are the coordinates of the image of l for a dilation with center (…
\((0.25, 1)\)
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2. classify the triangle by its angles. choose your answer...
Obtuse triangle
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classify the triangle by its angles. choose your answer...
acute triangle
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which are correct statements regarding proofs? select three options. □ …
1. In a paragraph proof, statements and their justifications are written in sentences in a logical order. 2. A two - column proof consists of a list statements and the reasons the…
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classify the triangle by its angles.
Acute triangle
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given that d is the midpoint of \\(\\overline{ab}\\) and k is the midpo…
\( AK + BK = AC \) (the last option, but since the options are not labeled with letters here, but in the original problem, the last option is "AK + BK = AC")
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which statement is true about the diagram? 10 s 4 a k b t k is the midp…
C. \( AK = BT \)
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given that \\(\\overrightarrow{ba}\\) bisects \\(\\angle dbc\\), which …
\(m\angle ABD = m\angle ABC\)
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suppose abc is a right triangle with sides a, b, and c and right angle …
Unknown side length: $4$ $\sin B = \frac{3}{5}$ $\cos B = \frac{4}{5}$ $\tan B = \frac{3}{4}$ $\csc B = \frac{5}{3}$ $\sec B = \frac{5}{4}$ $\cot B = \frac{4}{3}$ Side ratio equiv…
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given: ( mangle aeb = 45^circ ) ( angle aec ) is a right angle. prove: …
Angle Addition Postulate
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a two - column proof uses a visual representation of the logical flow o…
B. contains a table with a logical series of statements and reasons that reach a conclusion.
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a right triangle and two of its side lengths are shown in the diagram. …
14.4 cm
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the coordinates of the endpoints of \\(\\overline{ab}\\) are \\(a(-4, 4…
B. 6.7 units
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mandy walking from school to the park and then to her house. the diagra…
B. 5.79 miles
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the number line shows four points. which point represents the approxima…
B. point B
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apply the pythagorean theorem to find the distance between points a and…
C. $\sqrt{74}$ units
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use the pythagorean theorem to find the distance from emmas house to th…
A. $\sqrt{113}$
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7 centimeters, and the length of the rectangle is 8 centimeters. which …
10.63 centimeters
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the formula for the volume of a cylinder is $v = \\pi r^2 h$, where $v$…
D. 6 inches
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is best represented by the point g? a (sqrt{7.9}) b (sqrt{62.5}) c (sqr…
B. $\sqrt{62.3}$
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m∠cad = type your answer... m∠acd = type your answer... m∠acb = type yo…
To solve for the measures of the angles, we analyze the given triangle and its properties: ### Step 1: Analyze Triangle \( ACD \) In \( \triangle ACD \), \( AC = AD \) (marked wit…
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the coordinates of the vertices of the triangle shown are f(1,9), g(5,6…
5
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parallel lines m and n are intersected by parallel lines p and q. which…
B) $\angle 6$ and $\angle 9$
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find the measure of each angle ∠1 = type your answer... ∠2 = type your …
\(angle1 = 56^\circ\), \(angle2 = 32^\circ\), \(angle3 = 56^\circ\), \(angle4 = 124^\circ\)
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what is the length of the hypotenuse for a right triangle with legs of …
B. 17
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based on the diagram, pick the two choices below that represent the exp…
The two choices are $\frac{108}{255}$ and $\sin(25^\circ)$ (assuming the options are $\frac{108}{255}$, $\sin(25^\circ)$, $\sin(65^\circ)$, $\cos(155^\circ)$, $\frac{255}{108}$ et…
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find the measure of each angle. ∠1 = type your answer.. ∠2 = type your …
# Explanation: ## Step1: Find ∠1 In the right - angled part (since there is a right angle implied by the triangle with a 68° angle and the other angle in that small triangle), the…
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brianna made a mosaic in art class with different - shaped tiles. she s…
A. $20 + 2t + 2c$ D. $20 + t + t + c + c$
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what is the length of the hypotenuse for a right triangle with legs of …
A. 25
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in parallelogram pqrs, ( mangle qtr = 70^circ ), ( mangle qpr = 58^circ…
\(4\)
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find each measure. m∠b = ab =
\( m\angle B = 92^\circ \) \( AB = 12 \)
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13) graph the following equation. y = 4
A horizontal straight line passing through all points where the $y$-coordinate is 4, e.g., $(-2,4)$, $(0,4)$, $(3,4)$, across the provided coordinate grid.
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in parallelogram vwxy, ( mangle yzv = 66^circ ), ( mangle ywx = 56^circ…
\(7\)
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solution 3 the figure at the right has area 125 cm². which equation can…
First, the correct equation is **C. $25x = 125$** For Josephine's error: She likely incorrectly calculated the area of the bottom rectangle using the full total height of 15 cm (i…
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solve for x.\\(\\frac{10}{3}x + 4\\) \\(5x - 1\\) \\(7x - 7\\)\\(x =\\)…
\(x = 3\)
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solve for the variable in the isosceles triangle below. 12, 12, 52°, v°…
\(76\)
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solve for x. x = type your answer... 7 fill in the blank 10 points
\( x = 6 \)
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in parallelogram pqrs, ( mangle rts = 121^circ ), ( mangle qrp = 62^cir…
\( \boxed{6} \)
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question 10 of 10 in the diagram below, \\overleftrightarrow{ab} is par…
D. 72
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question 9 of 10 in the diagram below, \\overleftrightarrow{de} is para…
A. 85
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solve for x. x = type your answer...
\( x = 12 \)
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question 8 of 10 in the diagram below, \\overleftrightarrow{bd} is para…
A. 65
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question 7 of 10 in the diagram below, \\overleftrightarrow{bd} is para…
C. 67
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in parallelogram pqrs, ( mangle ptq = 120^circ )( mangle sqr = 59^circ …
\(14\)
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find each measure. m∠cad = type your answer... m∠acd = type your answer…
s: \( m\angle CAD=\boldsymbol{45^\circ} \) \( m\angle ACD=\boldsymbol{45^\circ} \) \( m\angle ACB=\boldsymbol{135^\circ} \)
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12) solve the absolute value inequality and graph the solution set. |x …
The solution to the inequality is $\boldsymbol{-24 < x < 8}$. For the graph: Draw a number line, place open circles at $-24$ and $8$, and shade the interval between these two poin…
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question 6 of 10 in the diagram below, \\overleftrightarrow{ab} is para…
B. 108
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question 5 of 10 in the diagram below, \\overleftrightarrow{bd} is para…
C. 110
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in parallelogram (abcd), (mangle aeb = 112^circ), (mangle cdb = 27^circ…
\( m\angle BAC = 41^{\circ} \) \( m\angle BEC = 68^{\circ} \) \( m\angle DAC = 54^{\circ} \)
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question 4 of 10 in the diagram below, \\(\\overleftrightarrow{de}\\) i…
B. 115
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solve for the variable. x = type your answer.. y = type your answer..
\( x = 11 \), \( y = 11 \)
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question 1 of 10 in the diagram below, \\overleftrightarrow{de} is para…
A. 110
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in parallelogram (abcd), (mangle aeb = 112^circ), (mangle dca = 55^circ…
\( m\angle DBC = 31^\circ \) \( m\angle ABD = 13^\circ \) \( m\angle DEA = 68^\circ \)
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question 10 of 10 which of the following is a true statement about skew…
C. Skew lines cannot lie in the same plane.
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question 9 of 10 in the diagram below, \\overleftrightarrow{bd} is para…
D. 110
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question 8 of 10 in the diagram below, \\(\\overleftrightarrow{de}\\) i…
C. 105
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solve for the variable. triangle wxy with angle at w is 52°, angle at x…
\( 8 \)
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question 7 of 10 in the diagram below, \\(\\overleftrightarrow{bd}\\) i…
C. 120
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5. find the value of tan u rounded to the nearest hundredth, if necessa…
5. $\approx 2.08$ 6. $\approx 0.88$ 7. $0.10$ 8. $\frac{2}{5}$ 9. $\frac{2\sqrt{2}}{7}$
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solve for the variable. x = type your answer...
\( x = 13 \)
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solve for the variable. x = type your answer...
5
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1. express tan l as a fraction in simplest terms. express tan o as a fr…
1. $\frac{\sqrt{37}}{6}$ 2. $\frac{5}{2}$ 3. $0.76$ 4. $\frac{\sqrt{87}}{13}$
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secondary math ii // module 5 geometric figures - 5.9 17. $overline{lg}…
\(27^{\circ}\) (assuming the problem is to find \(m\angle FGE\), the answer may vary depending on the exact problem and correct geometric relationships)
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the coordinates of the endpoints of \\(\\overline{ab}\\) are \\(a(-4, 3…
D. 7.8 units
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6-42. multiple choice: which line below is perpendicular to $y = -\frac…
C. $3x - 2y = 6$
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a baseball diamond is a square that is 50 feet on each side. a player t…
84.9 ft
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secondary math ii // module 5 geometric figures - 5.9 17. $overline{lg}…
\(27^{\circ}\)
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12. (overleftrightarrow{ac}) is tangent to the circle below. if (ac = 1…
21
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use the image to answer the question. identify the side length that is …
\( 5 \)
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13. find the perimeter of the triangle circumscribed about the circle b…
68 cm
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question 3 of 10 in the diagram below, \\overleftrightarrow{de} is para…
D. 94
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use the image to answer the question. which side length is adjacent to …
12
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question 2 of 10 in the diagram below, \\overleftrightarrow{bd} is para…
B. 113