Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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question what is the volume of a sphere with a radius of 2.9 m, rounded…
$102.1$ m$^{3}$
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in △ghi, • m∠g = 80°, and • the measure of the exterior angle at vertex…
B. $60^{\circ}$
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question find the volume of a right circular cone that has a height of …
$226.6$
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in △lmn, m∠l = 54° and m∠n = 24°. what is the measure of the exterior a…
B. \(78^{\circ}\)
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what is the volume of a cylinder with a height of 6.5 cm and a base wit…
$470.2$
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each cube inside the rectangular prism has an edge length of $\frac{1}{…
21 yd³
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what is the volume of a cylinder with a base and a height of 19.1 in an…
$2456.5$
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rajs company ships t - shirts in boxes shaped like cubes. the picture b…
24
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2 find the volume of the figure below: 14.2 mm 12 mm 8.5 mm © gina wils…
$1436.4$ $mm^{3}$
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what is the volume of a cylinder with a height of 16.5 m and a base wit…
$4107.0$
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what is the area of the pentagon shown? 16 cm 15 cm 18 cm 20 cm 300 cm²…
C. $354\ cm^{2}$
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what is the volume of a cylinder with a height of 13.6 cm and a base wi…
$1861.7$ $cm^{3}$
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the storage box shown has these dimensions. length: $\frac{1}{2}$ foot …
D. $\frac{3}{16}$ cubic foot
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in △lmn, m∠l = 54° and m∠m = 24°. what is the measure of the exterior a…
B. $78^{\circ}$
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this net can be folded to make a square pyramid. what is the surface ar…
145 square inches
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fill in the blank. the ____ of a triangle intersected at the circumcent…
The medians; the angle bisectors; the perpendicular bisectors of the sides; the altitudes
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find the area of the rectangle shown. the solution is
$295222$
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what is the volume of the box? $\frac{1}{4}$ ft
B. $4\frac{1}{2}\text{ ft}^3$
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the figure below is a net for the box to the right. what is the surface…
34 square feet
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in isosceles △srt, ∠r and ∠t are the base angles, and m∠s = 53°. what i…
C. $63.5^{\circ}$
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the formula for the lateral area of a right cone is la = πrs, where r i…
$s = \frac{LA}{\pi r}$, $r=\frac{LA}{\pi s}$
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a box in the shape of a rectangular prism has a length of 3\frac{5}{8} …
A. $36\frac{1}{4}\text{ in.}^3$
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mathematics diagnostic assessment given: ab ≅ dc and bc ≅ ad prove: abc…
D. side - side - side congruence
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8. solve for x and find m∠lmn. 4x + 2° 7x - 37° x = ____ m∠lmn = ____
$x=\frac{125}{11}$; $m\angle LMN = 90^{\circ}$ (since the two angles together form a right - angle)
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how many lines are shown in the figure? type the number in the box.
4
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what is the area of this isosceles trapezoid? 96 square units 72 square…
D. 60 square units
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which best describes the figure that is represented by the following co…
A. a parallelogram
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assume that the set of conditionals is true. use the conditionals to wr…
B. It can be concluded that if $\overrightarrow{BD}$ bisects $\angle ABC$, then $m\angle ABD = m\angle DBC$
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7. solve for x & find sr. 10x - 3 3x + 39 x = sr =
\(x = 6\) \(SR = 57\)
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what is the volume of the cube shown? 2 1/4 in. 11 25/64 in.³ 8 1/64 in…
$11\frac{25}{64}\text{ in.}^3$
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drag each label to the correct location on the image. not all labels wi…
$r = 6$ cm $h = 5$ cm $d = 12$ cm
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15) what is the slope of the line that is perpendicular to a line that …
$-\frac{7}{6}$ ### 16
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write the two conditional statements that form the following biconditio…
C. If a polygon has eight sides, then the polygon is called octagon D. If a polygon is called octagon, then the polygon has eight sides
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proving lines parallel 1. select all the true statements. a. p || q bec…
1. C 2. B 3. C 4. C 5. C
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6. if m∠dec=(12x - 3)°, m∠bce=(7x - 26)°, and m∠dae = 72°, find each an…
$m\angle DEC = 129^{\circ}$ $m\angle BCE = 51^{\circ}$ $m\angle ADE = 51^{\circ}$ $m\angle EDB = 129^{\circ}$ $m\angle DBC = 129^{\circ}$
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prove that alternate interior angles 3 and 6 are congruent. vertical an…
The proof is shown in the above - constructed two - column proof with statements and corresponding reasons. The key steps are using the properties of corresponding angles, vertica…
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joe wants to paint the outside of a wooden box. he needs to find the su…
$28\ ft^{2}$
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alice has been asked to prove that the shaded triangles in the diagram …
D. $\angle1\cong\angle2$
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2. circle the incorrectly spelled words. eligible hygeine physical vers…
eligable, hygeine
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6) line 1: (-2,1), (1,-1) line 2: (1,3), (4,1) pick the right answer fr…
### 6. # Explanation: ## Step1: Calculate slope of Line 1 The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For Line 1 with points $(-2,1)$ and $(1,-1)$, we have $m_1=\frac{-1…
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6) line 1: (-2,1), (1,-1) line 2: (1,3), (4,1) pick the right answer fr…
### 6. # Explanation: ## Step1: Find slope of Line 1 The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For line 1 with points $(-2,1)$ and $(1,-1)$, $m_1=\frac{-1 - 1}{1-(-2)}…
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6) line 1: (-2,1), (1,-1) line 2: (1,3), (4,1) pick the right answer fr…
### 6. # Explanation: ## Step1: Find slope of Line 1 The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For Line 1 with points $(-2,1)$ and $(1, - 1)$, $m_1=\frac{-1 - 1}{1-(-2…
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1. tell what is incorrect, then fix it. the team cant change their scor…
1. Error: Incorrect pronoun agreement. Correction: The team can't change its score after the buzzer. 2. Incorrectly spelled words: eligable (should be eligible), balet (should be …
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practice of sec. 2.7 1. find the indicated angles. <1 = <2 = <3 = <4 = …
$\angle1 = 124^{\circ}$ $\angle2 = 56^{\circ}$ $\angle3 = 124^{\circ}$ $\angle4 = 56^{\circ}$ $\angle5 = 56^{\circ}$
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question 4 2 pts a cylinder having a diameter of 7 inches and a depth o…
Question 4 (cylinder): 962.11 Question 5 (sphere): 370.77
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4) jamie was graphing the amount of money he pays for riding in a taxi.…
C ### 5.
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test #4 geometry prep name: nathan benite first of year form a date per…
1. **For the first question about the ordered - pair shown on the coordinate plane**: - # Explanation: - ## Step1: Identify the point on the coordinate - plane - Locate the point …
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**#1.) in the diagram below $overline{nl}$ bisects $angle mnk$. the $ma…
1. B. $36^{\circ}$ 2. B. $m\angle JKM = m\angle MKN$
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if parallel lines are cut by a transversal, then... the pair of corresp…
congruent
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a point with a positive x - coordinate and a negative y - coordinate is…
The x - coordinate is negative, and the y - coordinate is negative.
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the area of a rectangle is 54 m², and the length of the rectangle is 3 …
Length: 12 m Width: 4.5 m
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9) find the measure of each angle indicated. 10)
For question 9: \(100^{\circ}\) For question 10: \(80^{\circ}\)
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rate of change slope on a linear graph, this is called the slope is wri…
The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line. It is constant for any two points on the same line and is deno…
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write the negation of the hypothesis and the negation of the conclusion…
H. A polygon does not have exactly 5 diagonals.
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find the truth value of the conditional. explain your reasoning, or sho…
C. If the hypothesis is true and an angle measures 135°, then it is an obtuse angle, and so the conclusion is also true. Therefore, the conditional is true.
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find the y - intercept and the x - intercept of the line below. click o…
(a) y - intercept: [Value found from graph where x = 0] (b) x - intercept: [Value found from graph where y = 0]
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what are the missing reasons that would complete the partial proof of t…
The reason for $\angle5\cong\angle8$ is "Vertical - Angle Congruence". The reasoning for the overall proof is based on vertical - angle congruence and the transitive property of c…
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13. if ∠5 = 5z - 20 and ∠8 = 3z + 10 are alternate exterior angles, sol…
b. 15
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15. (a.eo.2.b, 5 points) which expression can be used to represent the …
D. $8k + 20$
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12. in a right triangle with sides a = 3, b = 4, what is the length of …
C. 5
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11. what type of triangle is formed if the sides are a = 9, b = 12, and…
A. Right triangle
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10. consecutive interior angles add up to: a. 90 degrees b. 180 degrees…
B. 180 degrees
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9. what does geogebra primarily help visualize in relation to the pytha…
a. Geometric relationships
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a transversal crosses parallel lines creating corresponding angles r an…
A. \(124.0^{\circ}\)
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8. what happens if (a^{2}+b^{2}<c^{2}) for the sides of a triangle? a. …
d. The triangle is obtuse
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7. what type of triangle has sides a = 8, b = 15, and c = 17? a. acute …
c. Right triangle
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5. what is the solution to the inequality 5 - 3(2x - 5) < 2(x + 3) - 10…
1. For the inequality, the answer is D. \(x>3\) 2. For the equation \(\frac{3}{4}(2x - 6)=-\frac{1}{2}(-3x - 9)\), the answer is D. There is no solution. 3. (Since the equations a…
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6. if ∠2 = 3z + 45 and ∠6 = 5z - 15 are alternate interior angles, find…
a. 30
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5. what is the value of a if ∠4 = 3a + 40 and ∠5 = 2a + 50 are consecut…
d. 18
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8. when rectangle abcd is reflected across line ef, the image is badc. …
C. Corresponding parts of congruent figures are congruent.
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see the figure below. what is the value of x? 48 90 93 141
C. 93
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20. the picture represents a final step used in... constructing a 3 - i…
constructing congruent segments
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2. what is the measure of \\(\\angle 4\\) if \\(\\angle 4 = 4a + 30\\) …
b. 90 degrees
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1. which angles are congruent when two parallel lines are intersected b…
d. Alternate interior angles
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18. which is not a pair of congruent sides in the diagram below? o $ove…
$\overline{KJ}$ and $\overline{JH}$
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segment lp is in △lmn. . $overline{lp}perpoverline{nm}$ . the length of…
D. $\overline{LN}\cong\overline{LM}$
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the theorem that relates the sides of a right triangle is called the th…
1. Pythagorean 2. Hypotenuse 3. Side length 4. Right
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16. given the diagram, below which statements are true? statement 1: po…
No correct option provided (but statements 3 and 4 are true).
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a transversal t crosses lines m and n. which measurements for the alter…
A. \(97^{\circ}\) and \(97^{\circ}\)
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7. (a.ei.1.c, 5 points) solve and graph the following inequality -13 ≥ …
The solution of the inequality is $n\leq - 4$. On the number line, there is a closed - circle at $-4$ and the line is shaded to the left of $-4$.
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the longest side of a right triangle, opposite the right angle, is call…
1. Hypotenuse 2. Legs 3. Right 4. Pythagorean
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this diagram shows lines m and n. what is the value of x? a. 34 b. 17 c…
C. 7
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use the graph at the right for exercises 5 and 6. 6. according to the g…
I. 6.4
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find the value of x a. 65 degrees b. 85 c. 70 d. 180 degrees e. 90 degr…
C. 70
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question 4 1 pts 4. the midpoint of $overline{xz}$ is $y$. which of the…
I. $YZ=\frac{1}{2}XZ$
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question 3 1 pts 3. what is the distance between a(-8, 4) and b(4, -1)?…
C. 13
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2. the endpoints of $overline{st}$ are $s(2, -2)$ and $t(4, 2)$. what a…
F. $(3,0)$
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two parallel lines are crossed by a transversal. what is the value of x…
$x = 37$
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two parallel lines are crossed by a transversal. what is the value of x…
$x = 115$
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determine the missing information in the paragraph proof. given: lines …
parallel
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12. an artist is designing a logo for a new company by reflecting trian…
measure of $\angle D$: $58^{\circ}$ length of $EF$: $3.5$ in. length of $DF$: $4$ in.
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two parallel lines are crossed by a transversal. what is the value of x…
\(x = 22\)
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given: lines a and b are parallel and line c is a transversal. prove: ∠…
alternate interior angles theorem
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lines e and f are parallel. the m∠9 = 80° and m∠5 = 55°. which angle me…
A. \(m\angle2 = 125^{\circ}\) B. \(m\angle3 = 55^{\circ}\) C. \(m\angle8 = 55^{\circ}\)
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two parallel lines are crossed by a transversal. if m∠6 = 123.5°, then …
$56.5^{\circ}$
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given: x // y and w is a transversal. prove: ∠3 ≅ ∠6. what is the missi…
transitive property
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the figure below is dilated by a factor of 2 centered at the origin. pl…
# Explanation: ## Step1: Recall dilation rule If a point $(x,y)$ is dilated by a factor $k$ centered at the origin, the new - point is $(kx,ky)$. Here $k = 2$. ## Step2: Identify …
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for two right triangles to be congruent, which of the following must be…
Their corresponding sides and angles must be equal in measure.
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13. the point (a, b) is translated 4 units to the right. what are the c…
D. \((a + 4,b)\)
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find the value of x o a. 68 degrees o b. 72 o c. 75 o d. 65 o e. 65 deg…
F. 70 degrees