Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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question 39 of 50 same - side interior angles form when a transversal i…
True
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question 36 of 50 the distance from a focus to a vertex on a graph of a…
False (the option labeled "False")
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if the slope of a line a is \\(\\frac{3}{4}\\), then the slope of a par…
False
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which of the following measures is the value of x where lines a and b a…
15
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question 33 of 50 in the graphic below, the measure of angle abc is: tr…
\( 127^\circ \) (corresponding to the option with 127°)
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a vertical line has a slope of zero. true false
False (the option corresponding to "False")
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which of the following statements will prove that line a is parallel to…
$\boldsymbol{\angle 3 \cong \angle 6}$ (the option with $\angle 3 \cong \angle 6$)
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the distance between the points (10, -2) and (4, 6) is 10. true false
True
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parallel lines sometimes intersect. ○ false ○ true
A. False
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given lines a and b are parallel, and m<1 = 50°. find m<3. options: 50°…
\(50^{\circ}\) (the option with \(50^{\circ}\))
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lines intersected by a transversal can never be parallel lines. false t…
False
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lines that intersect at 90? are skew lines. true false
False
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what is the slope of ab when a is (-3, 4) and b is (0, -2)? ○ 2 ○ 1 ○ -…
-2 (corresponding to the option " -2 ")
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in the graphic below, the measure of angle abc is: triangle with right …
\(143^\circ\) (corresponding to the option with this value, e.g., if the first option is "143°", then the answer is the option with 143°)
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which of the following expressions will calculate the length of segment…
\(\boldsymbol{\sqrt{(-3 - 4)^2+(5 + 6)^2}}\) (the third option: \(\sqrt{(-3 - 4)^2+(5 + 6)^2}\))
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in the diagram below, value of x is: 35° 5x° options: 35, 5, 55, 11
11
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the sum of the interior angles of a triangle is sometimes, but not alwa…
False
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given the coordinates of (5, 2) and (-1, 2), the distance is: 50. none …
6.
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9) triangle xyz with xy = 12.5 cm, yz = 13 cm, xz = 16 cm
The area of triangle \( XYZ \) is approximately \( 79.4 \, \text{cm}^2 \) (rounded to one decimal place)
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which of the following angle pairs best describes angles 1 and 8 in the…
They are alternate exterior angles.
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if parallel lines a and b are cut by transversal t, then which statemen…
$\angle 1 \cong \angle 2$ (the third option: $\boldsymbol{\angle 1 \cong \angle 2}$)
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select all shapes with a rectangle as a face.
The third shape (the purple triangular prism)
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in a transformation, the preimage is the original figure and the image …
True
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determine the distance between the points (-2, 3) and (5, - 3). 9 √15 8…
\(\sqrt{85}\) (corresponding to the option with \(\sqrt{85}\))
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the symbol $a \\parallel b$ represents that lines a and b are perpendic…
False
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which of the following angle pairs best describes angles 6 and 4 in the…
They are alternate interior angles.
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which of the following theorems about angles 4 and 6 would guarantee th…
the same - side interior angle converse theorem
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remote interior angles are formed on the outside of a triangle when a s…
B. False
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given the coordinates (0, 0) and (4, 1), the distance is: ○ 16. ○ √17. …
\(\sqrt{17}\) (corresponding to the option with \(\sqrt{17}\))
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if b is the midpoint between segment ac, which of the following equatio…
\( BA + BC = AC \) (the option with \( BA + BC = AC \))
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the slope of the line through the points (0, -3) and (4, 9) is: ○ 2. ○ …
3.
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if parallel lines a and b are cut by transversal t, which pair of angle…
$\angle3$ and $\angle5$ (the last option, i.e., the option with $\angle3$ and $\angle5$)
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given lines a and b are parallel, and m<1 = 50°. find m<4. options: 30°…
\(50^{\circ}\) (the option with \(50^{\circ}\))
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jacob had a large chocolate cake at his birthday party. after the party…
324
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practice final exam 120 points possible 10/20 answered question 11 find…
The equation of the line is \(y=-\frac{1}{2}x - 2\) (or \(x + 2y=-4\))
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the putting green for a hole at a miniature golf course is shown in the…
\(143.75\)
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find the measure of angle c. c = ?° b = 50 a = 29 a c = 26 b law of cos…
\( \approx23.3^{\circ} \) (The answer may vary slightly depending on the calculator's precision)
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the putting green for a hole at a miniature golf course is shown in the…
# Explanation: ## Step1: Split the shape We can split the putting green into a rectangle and a trapezoid (or a triangle and a rectangle, but let's use rectangle and trapezoid for …
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find the measure of angle c. c = ?° b = 50 a = 29 a c = 26 b law of cos…
\(23.32\)
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find the measure of angle c. a c = 55 b a = 50 b = 90 c = ?° law of cos…
\( \approx32.6^{\circ} \) (If we need to round to the nearest whole number, it is \( 33^{\circ} \))
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y = -x + 7\ y = \\frac{1}{4}x - 3\ plot two lines by clicking the graph…
Intersection point: (8, -1); Line 1 passes through (0,7) and (7,0); Line 2 passes through (0,-3) and (12,0)
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find the measure of angle c. b c = 90 a = 55 c = ?° b = 50 a law of cos…
\( 117.87^{\circ} \)
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what is the area of the shaded figure? units²
\( 30.5 \)
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credit inquiries are checks on your credit report. they can be either s…
- employee background check: Soft inquiry (select the circle under "Soft inquiry" for this action) - pre - qualified insurance quotes: Soft inquiry (select the circle under "Soft …
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find the sum of the angle measures of a nonagon. the sum is \\(\\square…
\( 1260 \)
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use formulas to find the area of the figure. 26 in. 6 in. 19 in. 6 in. …
D. \(270\space\text{in}^2\)
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the given tessellation formed by two or more regular polygons is shown …
C. squares, triangles ### Part (b)
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watch the video and then solve the problem given below click here to wa…
20.4
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12. albertos mom asked him to clean his room before he went to the movi…
A = geometry test, B = cleaning his room, C = movies
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determine whether the following graph represents a function. the graph …
The graph does not represent a function because at least one x - value is mapped to more than one y - value.
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find the length of side c. law of cosines: ( c^2 = a^2 + b^2 - 2ab cdot…
\( 16.43 \)
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find the length of side c. law of cosines: $c^2 = a^2 + b^2 - 2ab \\cdo…
\(4.25\)
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to find the area of the composite figure, two students divided the shap…
To determine the expression for each partial shape: - **Trapezoidal partial shape**: Use \(\boldsymbol{\frac{3 + 5}{2}\cdot4}\) (area of trapezoid: \(\frac{(a + b)}{2}\cdot h\), w…
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find the length of side c. law of cosines: $c^2 = a^2 + b^2 - 2ab \\cdo…
\(13.95\)
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find the length of side c. b = 26 a = 19 c = ? law of cosines: $c^2 = a…
\(13.78\)
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find the length of side c. (there is a triangle abc with angle c = 100°…
\( 42.25 \)
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find u. write your answer in simplest radical form. inches
\(7\sqrt{3}\)
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practice final exam 120 points possible 10/20 answered question 11 find…
The equation of the line is \(y =-\frac{1}{2}x-2\) (or \(x + 2y=-4\) or \(2x+4y=-8\))
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et 6 of 8 correct hamilton supports hamilton opposes the government of …
1. "The government of the state of Pennsylvania borrows a lot of money from a foreign country to pay for a war against Native Americans": Hamilton opposes (select the circle under…
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use formulas to find the area of the figure. a. 72 ft² b. 17,280 ft² c.…
D. \(312\space ft^2\)
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find the focus and directrix of the parabola with the given equation. t…
Focus: \((2, 0)\) Directrix: \( x = -2 \) Graph: B
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find t. image of a right triangle with a right angle, one angle 60°, on…
\(13\)
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find s. 3√6 ft 45° 45° s write your answer in simplest radical form. fe…
\(3\sqrt{3}\)
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find c. (image of a right triangle with two 45° angles, one leg labeled…
\(2\sqrt{2}\)
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find the focus and directrix of the parabola with the given equation. t…
The focus is \((0, -6)\). The directrix is \(y = 6\).
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a triangle has a base of 5 meters and a height of 12 meters. the area o…
Triangle 1 height: \( 1 \) meters, Triangle 2 base: \( 600 \) meters
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the diagram shows triangle abc. use the drop-down menus to make each st…
The base of triangle \( ABC \) is \( 4.2 \) units. The height of triangle \( ABC \) is \( 6.6 \) units. The area of triangle \( ABC \) is \( 13.86 \) square units.
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what is the area of the triangle? 5 3.3 4.7 square units
20
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label each point on the number line with the correct value. click each …
- \(a\): \(0.62\) - \(b\): \(\frac{7}{9}\) - \(c\): \(\frac{10}{9}\)
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samantha draws a triangle with the following dimensions: • height: 14 c…
119
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question find the volume of a pyramid with a square base, where the sid…
\(864.8\) cubic feet
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a three - dimensional model of lucias apartment is shown. to cool the w…
19,800 BTUs
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which angles are complementary to each other? ∠1 and ∠6 ∠5 and ∠2 ∠4 an…
\(\angle4\) and \(\angle5\)
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what is an angle that is supplementary to \\(\\angle edi\\)?
\(\angle GDE\)
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this image has rotational symmetry. what is the smallest number of degr…
\(72\)
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the base of the pyramid in the diagram is a regular hexagon. the length…
\(187\space ft^{3}\)
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a chemist has an empty cylinder with a height of 30 cm and a cone - sha…
\(10\) cm
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look at this shape: image of a trapezoid on a grid which image shows a …
A. Option A
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look at this shape: image of a blue triangle on a grid which image show…
B. Option B
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what combination of transformations is shown below?
The combination of transformations is a rotation followed by a translation.
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question find the length of the third side. if necessary, write in simp…
\(5\sqrt{3}\)
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polygon q is a scaled copy of polygon p. (image of polygon p with side …
\(2\)
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9) 10) (12)
- Triángulo (12): \(x\approx6.10\) - Triángulo (9): \(x\approx16.69\) - Triángulo (10): \(x\approx9.19\)
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the diagram shows a convex polygon. what is the value of p? p = \\boxed…
\( p = 76 \)
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find the equation of a line perpendicular to y = -x + 6 that passes thr…
The equation of the perpendicular line is \( y = x - 4 \)
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what is the length of \\( \\overline{pr} \\) ?
C. 6
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the triangles are congruent by sss or hl. which transformation(s) can m…
rotation, then reflection
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lmnp is a rectangle. find the value of x and the length of each diagona…
\(x = 1.25\)
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for what value of x is the given parallelogram a rhombus? the given par…
\(10\)
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what is the length of the hypotenuse? if necessary, round to the neares…
\(7.3\)
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find the center and the radius of the circle. $(x - 4)^2 + (y + 5)^2 = …
The center is \((4, -5)\). The radius is \(\sqrt{73}\).
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given $m \\parallel n$, find the value of $x$.
\(x = 76\)
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which angles are adjacent to each other? select all that apply. ∠10 and…
∠10 and ∠11, ∠13 and ∠14, ∠11 and ∠12, ∠15 and ∠16 (all these pairs are adjacent as they meet the adjacent angle criteria: common side, common vertex, no overlap).
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which of the following are remote interior angles of ∠ 5? check all tha…
∠1, ∠2 (So the correct options are the ones corresponding to ∠1 and ∠2. If the options are labeled as: ∠1 (option A), ∠2 (option B), ∠3 (option C), ∠4 (option D), ∠5 (option E), ∠…
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find the approximate area of the shaded region below, consisting of a r…
2,794 square meters (the second option)
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question a side of the triangle below has been extended to form an exte…
\(x = 54\)
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in the figure below, m ∠1 = 39°. find m ∠2, m ∠3, and m ∠4.
$m\angle2 = 39^\circ$, $m\angle3 = 141^\circ$, $m\angle4 = 141^\circ$
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write the coordinates of the vertices after a translation 2 units left.…
\( K'(-6, -5) \) \( L'(1, -5) \) \( M'(-4, 2) \)
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write the coordinates of the vertices after a translation 3 units left.…
\( T'(-1, 4) \) \( U'(4, 4) \) \( V'(4, 7) \) \( W'(-1, 7) \)
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write a proof of the angle - angle similarity theorem. if two angles of…
\(\triangle TUV\sim\triangle XYZ\) (by the Angle - Angle similarity theorem)