Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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4. an angle of a parallelogram measures 108°. list the other angles.
$10^\circ$, $170^\circ$, $170^\circ$
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1. find the area. use 3.14 for pi and round your answer. circle with di…
$\boldsymbol{188.60}$ square meters
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question what is the image point of (-9, 6) after a translation left 4 …
$(-13, 2)$
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what is the image point of (0, 2) after a translation left 5 units and …
$(-5, 1)$
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classify this triangle by its sides. triangle image with different mark…
scalene
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classify this triangle by its sides. triangle image options: equilatera…
scalene
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4. two angles of a quadrilateral measure 160° and 10°. the others are a…
The measures of the two angles are $20^\circ$ and $170^\circ$.
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classify this triangle by its sides and angles. obtuse and scalene; rig…
right and scalene
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10. a circular fountain has a diameter of 6 units. which value best app…
C. 19 units
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8. two triangles are similar. triangle abc has a side length of 4 cm an…
a) The scale factor from triangle ABC to triangle DEF is $\frac{5}{2}$ c) The corresponding side in triangle DEF is 15 cm
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5. a fence surrounds two sides of a backyard. the total length of the f…
The length of the second side of the fence is \( 34.5 \) feet.
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triangle a is reflected in a horizontal mirror line. which way round wo…
C
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find the perimeter of rhombus efgh. draw efgh is a rhombus, side ef is …
180
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graph each equation. 9) $\\dfrac{x^2}{4} + \\dfrac{y^2}{9} = 1$ graph w…
# Explanation: ## Step1: Identify the conic section The equation \(\frac{x^{2}}{4}+\frac{y^{2}}{9} = 1\) is in the standard form of an ellipse \(\frac{x^{2}}{b^{2}}+\frac{y^{2}}{a…
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find the following angles and side lengths in the parallelogram below. …
\(\angle SUT = 127^\circ\) \(\angle SQR = 57^\circ\) \(\angle RSQ = 26^\circ\) \(\angle TRS = 26^\circ\) \(\overline{QT} = 8\) \(\overline{ST} = 17\)
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given gl = lk = jn = jo and lm = no, select the true statement used to …
\(\boldsymbol{\triangle LGM \cong \triangle NJO}\) by the side - side - side criterion
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given lq = lr = os = ot and qr = st, select the true statement used to …
\( \triangle QLR \cong \triangle SOT \) by the side - side - side criterion
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given $kn \\cong ko$ and $np \\cong op$, select the two true statements…
\( \triangle NKP\cong\triangle OKP \) by the side - side - side criterion; \( \angle NKP\cong\angle OKP \) because corresponding parts of congruent triangles are congruent
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given $nq = nr$ and $qs = rs$, select the two true statements that are …
The two true statements are: - \( \triangle QNS\cong\triangle RNS \) by the side - side - side criterion - \( \angle QNS\cong\angle RNS \) because corresponding parts of congruent…
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draw a line representing the ise\ and a line representing the un\ of th…
- Rise: vertical segment from $(0, 3)$ to $(0, 0)$ (length 3 downward) - Run: horizontal segment from $(0, 0)$ to $(5, 0)$ (length 5 rightward) - Equation of the line: $y = -\frac…
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consider the function $y = 2\\sin(x)$ for $0^\\circ \\leq x \\leq 360^\…
To graph \( y = 2\sin(x) \) for \( 0^{\circ}\leq x\leq360^{\circ} \): 1. **Label Axes**: Label the x - axis as "Angle (degrees)" and the y - axis as "y - value". 2. **Mark Key Poi…
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in the coordinate plane, points a, b, and c have coordinates (1,2), (4,…
The shape of the figure is a right triangle. ### Sub - Question 2
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graph \\(\\frac{11}{6}\\) and \\(\\frac{1}{6}\\) on the number line. (n…
$\frac{11}{6} > \frac{1}{6}$ (Note: On the provided number line, $\frac{1}{6}$ is marked at the first tick after 0, and $\frac{11}{6}$ is marked at the tick immediately before 2; …
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4 three points representing the corners of a rectangular garden are a (…
## Part A 1. Plotting: Mark $A(-7, 3)$ (7 units left, 3 units up from the origin), $B(7, 3)$ (7 units right, 3 units up from the origin), and $C(7, -3)$ (7 units right, 3 units do…
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each lettered point represents a location on the number line. choose tr…
a. False b. False c. False d. False e. True
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practice using colored pencils, label and shade the figure at the right…
The intersection of the yellow - shaded plane and the orange - shaded plane is a line. ### 2. General Guidance for Labeling Points (Questions 1,4,5,6) For questions 1,4,5,6, these…
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heron’s formula: $s = \\frac{1}{2}(a + b + c)$; solve for $b$.
\( b = 2S - a - c \)
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graph each equation. 9) \\(\\frac{x^2}{4} + \\frac{y^2}{9} = 1\\) coord…
The graph is an ellipse centered at the origin $(0,0)$ with vertices at $(0, 3)$, $(0, -3)$ and co-vertices at $(2, 0)$, $(-2, 0)$, forming a vertical elongated oval shape passing…
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what is the sum of the measures of the exterior angles of a pentagon? i…
\( 360 \)
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what is the sum of the measures of the exterior angles of the polygon s…
\(360\)
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the exterior angle of a regular polygon measures $5^{circ}$. how many s…
The polygon has \(\boldsymbol{72}\) sides.
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how many sides does a polygon have if the sum of the interior angles is…
The polygon has 12 sides.
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how many sides does a polygon have if the sum of the interior angles is…
The polygon has 9 sides.
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how many sides does a polygon have if the sum of the interior angles is…
The polygon has 17 sides.
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Question was provided via image upload.
$86$
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xavier has pieces of construction paper that are 6 centimeters long and…
12 centimeters
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question what is the sum of the interior angles of an 11 - gon? answer …
\( 1620 \)
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nonagon quadrilateral heptagon hexagon of 2 e has □ 4 sides. it is an e…
quadrilateral
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the figure above has 5 sides. it is an equilateral (but not equiangular…
The polygon has 5 sides and is a pentagon. So the correct option from the dropdown (if we consider the options: hexagon, pentagon, decagon, octagon) is pentagon (with 5 sides).
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decagon pentagon heptagon nonagon above has 9 sides. it is an equilater…
nonagon (from the options: nonagon)
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the figure above has 8 sides. it is a regular dropdown with options: de…
octagon
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answer attempt 1 out of 2 the polygon above has 8 sides. it is options:…
a regular
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find the graph of this inequality. y > -1
The first graph (the one with the dashed horizontal line at \(y = -1\) and the region above this line shaded)
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question square vwxy circumscribes circle z. find the area of the shade…
\( 256 - 64\pi \) (or approximately \( 54.9 \))
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the two labeled angles are adjacent angles. that means that their measu…
\( X = 4.5 \) (or \( X = \frac{9}{2} \))
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complete the statements about the relationship between the two labeled …
\(x = 20\)
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m∠udr=63° two labeled angles are adjacent angles. means that their meas…
\(4.5\)
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find the area of the shaded region of circle p below. round your answer…
\( 2.6 \)
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square vwxy circumscribes circle z. find the area of the shaded region.…
\( 69.5 \)
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write an equation of the line below.
$y=\frac{1}{2}x+2$
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solving for angle measures given: m∠udr=63° the two labeled angles are …
The equation is \(9x + 5x = 63\) and \(x = 4.5\)
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look at the following number line. 8:00 8:15 8:30 8:45 9:00 a what time…
8:03
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Question was provided via image upload.
C. C
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een the two labeled angles. uation to help you solve for x. hint you ca…
140
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about the relationship be angles are vertical angles. ans that their me…
\(x = 20\)
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solving for angle measures complete the statements about the relationsh…
The equation is \( 7x = 140 \) and \( x = 20 \). (If the question only asks for the equation, then the answer is \( 7x = 140 \); if it asks for the value of \( x \), then \( x = 2…
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△abc is rotated around the origin to form △abc. which rotation is shown…
90° counterclockwise
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there are many different names for $\\angle cpx$. but, $\\angle bpd$ is…
\(90\)
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there are many different names for ∠cpx. but, ∠bpd is not another name …
\( 60^{\circ} \) (Note: The actual answer depends on the measurement from the diagram using a protractor - like tool. This is a sample answer based on a common geometric problem s…
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determine m∠cpx. make sure to reset the tool before determining this me…
20°
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look at this diagram: diagram with lines and points t, q, p, r, u, w, v…
\( 139 \)
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determine m∠cpx. make sure to reset the tool before determining this me…
\( 20 \)
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look at this diagram: (diagram with lines and points: t, q, p, r, u, w,…
\( 139 \)
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look at this diagram: diagram showing two parallel horizontal lines fh …
$70$
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partially correct your answer is incorrect. which pairs of figures are …
### First Pair (Triangles) #### Brief Explanations: - **Congruent?**: Congruent figures have same shape and size. The two triangles: one is a right triangle, the other is a taller…
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which pairs of figures are congruent? which pairs are similar? (first g…
- Top - Left Pair: - Congruent? No - Similar? No - Top - Right Pair: - Congruent? No - Similar? No - Bottom - Left Pair: - Congruent? No - Similar? No - Bottom - Right Pair: - Con…
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in a scale model of a boat, 1 inch represents 10 feet. image of a boat …
\(3\) ### Part (b)
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3. -9.5(2x - 10) = 3.8(-5x + 25) 6. 5.5(2x + 1) = -5.5x + 63.25 square …
All real numbers (or \(x\in\mathbb{R}\)) ### Problem 6: Solve \(5.5(2x + 1)=-5.5x + 63.25\)
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find the slope of the line through each pair of points. 15) (-4, 9), (7…
15) $m=-\frac{10}{11}$ 16) $m=-\frac{11}{2}$ 17) $a=-20$ 18) $k=-17$ 19) $n=180$ 20) $n=12$
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for questions 11 - 14, solve the given triangles by finding the missing…
## Question 11: $\angle C = 57^\circ$, $AC \approx 9.9$, $AB \approx 8.7$ ## Question 12: $\angle B = 122^\circ$, $AB \approx 62.9$, $BC \approx 249.2$
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find the slope of each line. 13) graph of a line on a coordinate plane …
2
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additional details were added for this assignment. is △ pmr similar to …
\( \triangle PMR \) is similar to \( \triangle SMN \) by the SAS Similarity Theorem. So the correct option is: \( \triangle PMR \) is similar to \( \triangle SMN \) by the SAS Sim…
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which triangle is △ abc similar to and why? note: figures are not drawn…
$\triangle ABC$ is similar to $\triangle JKL$ by AA Similarity Postulate.
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14. construction construct kite benf given sides \\(\\overline{be}\\) a…
2
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calculator what is the value of x? enter your answer in the box. □ unit…
28
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questions 8 - 10, deal with the ambiguous ssa case. for each, find all …
### Question 8: - $B \approx 36.9^\circ$, $C \approx 93.1^\circ$, $c \approx 19.6$ (one valid triangle) ### Question 9: No valid triangles ### Question 10: - Triangle 1: $B_1 \app…
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△ dns ~△ arh what is the value of x? enter your answer in the box. □ un…
33
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then, solve for the missing angles 28. m∠1 = m∠2 = m∠3 = m∠4 = 29. m∠1 …
## Problem 18 $m\angle1 = 125^\circ$ $m\angle2 = 30^\circ$ $m\angle3 = 125^\circ$ $m\angle4 = 55^\circ$ ## Problem 19 $m\angle1 = 42^\circ$ $m\angle2 = 48^\circ$ $m\angle3 = 90^\c…
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for questions 5 - 6, solve for the remaining angles. (3 points each) 5.…
Question 5: $\angle A \approx 35.9^\circ$, $\angle C \approx 34.1^\circ$, $\angle B = 110^\circ$ Question 6: $\angle A \approx 80.2^\circ$, $\angle B = \angle C \approx 49.9^\circ$
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11) x = justify: 12) y = justify: (there is an image of intersecting li…
11) $x = 88$ Justify: Corresponding angles of parallel lines are equal. 12) $y = 72$ Justify: Linear pair angles are supplementary.
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2. find the missing side length. (2 points) triangle with sides 18, 8 a…
$\approx13.32$
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1. find the length of a. (2 points) triangle abc with angle at a being …
$\approx22.18$
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warm up get locked in! basketball sam, kendra, and tony are passing a b…
Kendra would have to turn her head \(90\) degrees to look from Sam to Tony. I know this because the sum of the interior angles of a triangle is \(180^\circ\), so \(180^\circ - 40^…
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warm up 🔥 get locked in! basketball sam, kendra, and tony are passing …
90
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exit ticket seal the deal! $2 summary directions: - each word costs 10 …
The Exterior Angles Theorem: An exterior angle of a triangle equals the sum of its two remote interior angles.
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Question was provided via image upload.
\( m\angle 1 = 25^\circ \), \( m\angle 2 = 115^\circ \), \( m\angle 3 = 65^\circ \)
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extra practice level up your skills! find the measure of ∠fgh. m∠fgh = …
\(141\)
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extra practice level up your skills! find the measure of ∠acb. a (2x + …
\(120\)
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find the volume of this rectangular pyramid. be sure to include the cor…
\( 72 \) cubic inches (or \( 72\ \text{in}^3 \))
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using the graph, determine the coordinates of the x-intercepts of the p…
$(-7, 0)$ and $(-2, 0)$
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type the correct answer in the box. use numbers instead of words. the r…
45
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type the correct answer in the box. use numbers instead of words. what …
2400
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type the correct answer in the box. use numbers instead of words. what …
1200
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question determine the relationship between the two triangles and wheth…
The two triangles are related by a correspondence of all three pairs of congruent sides (SSS congruence criterion), so the triangles can be proven congruent.
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question determine the relationship between the two triangles and wheth…
The two triangles are related by the SAS congruence criterion, so the triangles are congruent.
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question determine the relationship between the two triangles and wheth…
The two triangles are related by **SAS congruence criterion**, so the triangles are congruent.
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question determine the relationship between the two triangles and wheth…
The two triangles are related by the Hypotenuse-Leg (HL) congruence criterion, so the triangles are congruent.
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type the correct answer in the box. use numbers instead of words. the r…
120
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type the correct answer in the box. use numbers instead of words. the r…
20
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select the two correct answers. a right rectangular prism has a volume …
B. Base area of 10 square feet and height of 4 feet D. Length of 2 feet, width of 4 feet, and height of 5 feet