Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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1. 8.5 ft 8.5 ft
72.25 pies cuadrados ($\text{ft}^2$) *(Nota: Si se hubiera solicitado el perímetro, sería $P=4l=4\times8.5=34$ ft, pero por defecto, para figuras geométricas con lados dados, el c…
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which of the following shapes are trapezoids? choose 2 answers: a b c
A. The quadrilateral with one slanted side and parallel horizontal sides B. The quadrilateral with parallel top and bottom sides
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what is the measure of this angle? choose the best estimate.$80^{circ}$…
80°
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what is the measure of this angle? choose the best estimate.$125^{circ}…
65°
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each row of this table lists the dimensions of a different cone. 4. com…
| Diameter (units) | Radius (units) | Base Area (sq. units) | Height (units) | Cylinder Volume (cu. units) | Cone Volume (cu. units) | |------------------|----------------|-------…
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which statements are true regarding the relationships between central, …
A circumscribed angle is created by two intersecting tangent segments. The measure of a central angle will be twice the measure of an inscribed angle that intercepts the same arc.…
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tionships study guide points: 0 of 1 part 1 of 3 challenge the angles s…
The value of $x$ is $6$. The measure of $\angle1$ is $77^\circ$. The measure of $\angle2$ is $13^\circ$.
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mp3 4wca test redo find $m\\angle a$. the diagram is not to scale. ○ 73…
73 (Option: 73)
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19) jklm ~ efgh a) find the scale factor. b) find the values of x, y, a…
a) Scale factor (JKLM to EFGH) is $\frac{20}{11}$; (EFGH to JKLM) is $\frac{11}{20}$ b) $x = \frac{160}{11}$, $y = 16.5$, $c = \frac{60}{11}$ c) Perimeter of EFGH is $38.5$; Perim…
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your turn: similarity practice (select answers are shown on last page) …
a) $x=30$ b) $x=11$
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which statements are true regarding the diagram for circle p and the an…
$\boldsymbol{\angle DEC}$ is a circumscribed angle. $\boldsymbol{\angle BCA}$ is an inscribed angle. $\boldsymbol{\angle APB}$ is a central angle. $\boldsymbol{\overline{PB} \cong…
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4. a cylinder has a radius of 2.5 meters. its volume is $37.5\\pi$ cubi…
6 meters
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what is the value of $angle mnl$?$\bigcirc$ 54$\bigcirc$ 126$\bigcirc$ …
54
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21. find the perimeter of the triangle:triangle image with side lengths…
$24$ --- ### Problem 22
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solving right triangles date: 2/9/2 find the missing side. round to the…
1) $18.5$ 2) $1.6$ 3) $5.3$ 4) $9.0$ 5) $16.7$ 6) $17.3$ 7) $27.7$ 8) $37.3$
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the diagram shows two parallel lines and a transversal. if the measure …
C. $40^\circ$
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question 14 of 25 which of the following is most likely the next step i…
D. <The circular icon with blue segments at top-left and bottom-right, red segments at top-right and bottom-left>
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the effect of transformations. 83c19. point c(12, 5) was reflected to c…
The line of reflection is the $y$-axis (or the line $x=0$)
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15. $x = \\underline{\\quad\\quad}$ $y = \\underline{\\quad\\quad}$ $z …
$x=\frac{14\sqrt{3}}{3}$, $y=14$, $z=\frac{28\sqrt{3}}{3}$ --- ### Problem 16
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20. point m(2, 4) was dilated to m(9, 18). what was the scale factor, a…
The scale factor is $4.5$ (or $\frac{9}{2}$), and the dilation is an enlargement.
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ransformations. 8.3c, 8.10c 7. point l is located at (-3,-6). where is …
$(3, -6)$
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** this is a 2-page document! ** directions: find the value of each var…
1. $x=13$, $y=13\sqrt{2}$ 2. $x=15\sqrt{2}$, $y=15\sqrt{2}$ 3. $x=6$, $y=3\sqrt{3}$ 4. $x=17$, $y=17\sqrt{3}$ 5. $x=10$, $y=10$ 6. $x=50$, $y=25$ 7. $x=2\sqrt{7}$, $y=2\sqrt{7}$ 8…
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10. point q is located at (-9, 10). where is q after a translation 4 un…
$(-5, -1)$
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9. point w is located at (6, 2). where is w after a 180° counterclockwi…
$(-6, -2)$
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7) $y - 2 = 4(x - 1)$
The line $y=4x-2$ (rewritten from $y-2=4(x-1)$) is graphed by plotting points $(0, -2)$ and $(1, 2)$ and drawing a straight line through them, extending across the coordinate plan…
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since all circles are similar, a proportion can be set up using the cir…
Because $\frac{\pi}{1}=\frac{C_2}{2r}, C_2=2r\pi$
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ations to explain the effect of tran 6. point r is located at (8, 13). …
$(0, 7)$
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major arc cbd measures $300^\\circ$. which is the radian measure of its…
$\boldsymbol{\frac{5\pi}{3}}$ radians (Option C)
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solve for x. $(7x - 4)^\\circ$ $73^\\circ$ $x = \\square$
$x = 11$
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in circle o, the length of radius ol is 6 cm and the length of arc lm i…
14.2 cm
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esentations to explain the effect of transformatio, 5).6. point r is lo…
6. $R' = (0, 7)$ 9. $W' = (-6, -2)$
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solve for x. $(2x - 15)^circ$ $59^circ$ $x = \\square$
$x = 37$
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8. point b is located at (4,-16). where is b after a dilation with a sc…
$(3, -12)$
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circle with center a, radius ac = 8 cm, central angle ∠cad = 50°, corre…
The arc lengths are proportional: $\overparen{CD} = 4\overparen{EF}$.
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an arc on a circle measures $295^\\circ$. the measure of the central an…
$\frac{3\pi}{2}$ to $2\pi$ radians
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arc cd is $\frac{2}{3}$ of the circumference of a circle. what is the r…
$\boldsymbol{\frac{4\pi}{3}}$ radians (Option C)
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consider circle t with radius 24 in. and $\\theta = \\frac{5\\pi}{6}$ r…
20π in.
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in circle m, diameters jl and hk each measure 16 centimeters. what is t…
3.5 cm
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4) $6x - 4y = 24$
Plot the x-intercept $(4, 0)$ and y-intercept $(0, -6)$ on the grid, then draw a straight line through these two points. This line represents the equation $6x - 4y = 24$.
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arc cd is $\frac{1}{4}$ of the circumference of a circle. what is the r…
$\frac{\pi}{2}$ radians
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which part of the text best represents the idea that frau marks had pre…
D. neighbors she had known all her life
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a taxi way is being constructed that intersects two parallel runways at…
101°
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the face of a clock is divided into 12 equal parts. the radius of the c…
- The central angle measure when one hand points at 2 and the other points at 4 is $60^\circ$. - With one hand at 5 and the other at 10, the minor arc formed by the hands is about…
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an arc on a circle measures $250^\\circ$. within which range is the rad…
$\pi$ to $\frac{3\pi}{2}$ radians
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x the pre-image is located in quadrant iii. ✓ the pre-image and image a…
The orientation of the figure did not change. $\boldsymbol{\checkmark}$ (True) The pre-image and image are congruent figures. $\boldsymbol{\times}$ (False)
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the corresponding sides in the pre-image and image are congruent. the r…
1. $\boldsymbol{\text{False}}$ (The orientation of the figure did not change.) 2. $\boldsymbol{\text{True}}$ (The corresponding angle measures in the pre-image and image are congr…
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5) (-5,5) (-1,3) | x | y |-5|5 |-1|3 m: ______ b: ______ equation: ____…
$m=-\frac{1}{2}$, $b=\frac{5}{2}$, Equation: $y=-\frac{1}{2}x+\frac{5}{2}$ --- ### For problem 6:
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analyzing circles given a central angle measure in degrees in circle c,…
- The circumference of circle C is $20\pi$ cm. - Arc QS measures about 15.7 cm.
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consider circle c below, where the central angle is measured in radians…
12 units
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3)(-3, 3) (0, 3)| x | y || -3 | 3 || 0 | 3 |m: ______b: ______equation:…
### Problem 3: $m: 0$ $b: 3$ Equation: $y=3$ ### Problem 4: $m: -\frac{3}{2}$ $b: 1$ Equation: $y=-\frac{3}{2}x+1$
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in circle o, central angle aob measures $\frac{pi}{3}$ radians. what is…
A. \(6\pi\) cm
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name _______________ date _______________pd____ nsformations study guid…
1. $\boldsymbol{\text{False}}$ (The pre-image is in Quadrant IV, not III) 2. $\boldsymbol{\text{True}}$ (Translations preserve congruence) Translated image coordinates: $S'(-7, -6…
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circle o has a circumference of $88\\pi$ cm. what is the length of the …
44 cm
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the right triangle below has legs of length $a=8$ and $b=6$. the hypote…
Part 1: 96 Part 2: 196 Part 3: 100 Part 4: 100 Part 5: $=$
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unit: transformations review name date transformations study solve each…
The corresponding sides in the pre-image and image are congruent. $\boldsymbol{True}$ The reflection changed the orientation of the vertices. $\boldsymbol{True}$
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your answer is incorrect. find the distance between the points a and b …
7.21 units
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11. a shoe box is covered with packing paper before being shipped. the …
$\$24$
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crack the codeproperties of parallelogramseach of the figures pictured …
# Explanation: ## Step1: Solve top-right parallelogram In a parallelogram, consecutive angles are supplementary, and the angle $x$ is supplementary to $56^\circ$. $x = 180 - 56 = …
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find the distance between the points a and b (that is, find the length …
4.24 units
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7) -2, -4, -8, -16, ... find $a_9$ 8) -3, -9, -27, -81, ... find $a_{12…
7) $a_9 = -512$ 8) $a_{12} = -531441$ 9) $a_{11} = -236196$ 10) $a_{10} = -524288$ 11) $a_9 = -390625$; Explicit formula: $a_n = -(-5)^{n-1}$ 12) $a_{12} = 2048$; Explicit formula…
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use the following information to answer questions 3 and 4.candice drew …
3. B. $(x,y) \longrightarrow (x,-y)$ 4. A. $(6,-5)$
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9. which of the rectangular prisms below has the greatest total surface…
A. Rectangular prism with dimensions 12 in, 6 in, 6 in (surface area = 360 square inches)
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find the distance between the points a and b g(that is, find the length…
4.24 units
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y-intercept=-2 (-2, 6) y-intercept what is the y-intercept of the blue …
The y-intercept of the blue line is $\boldsymbol{5}$ (or the point $(0, 5)$)
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(x, y) → (x, -y) d (x, y) → (x, y - 2) 8.10c (m) 4. if candice rotated …
B. $(x, y) \longrightarrow (x - 4, y)$
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name find the slope, y-intercept of the line, and then write an equatio…
### For Line 1: Slope $m$: $\boldsymbol{\frac{-4}{3}}$ y-intercept $b$: $\boldsymbol{\frac{20}{3}}$ Equation: $\boldsymbol{y=\frac{-4}{3}x+\frac{20}{3}}$ ### For Line 2: Slope $m$…
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find the distance between the points a and b given below(that is, find …
6.32 units
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directions: for each equation below, make a blue circle around the y-in…
-2
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finding arc length using radians in circle o, angle aob measures $\frac…
\(4\pi\) in. (the blank should be filled with 4)
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8. the pyramid pictured below has a total surface area of 336 centimete…
8 cm
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arc ab is $\frac{1}{3}$ of the circumference of a circle. what is the r…
$\frac{2\pi}{3}$ radians
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types of arcs determine whether the arc is a minor arc, a major arc, or…
19. Minor arc 20. Minor arc 21. Major arc 22. Minor arc 23. Major arc 24. Semicircle 25. Major arc 26. Major arc
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what is the approximate solution to the system of equations shown in th…
B. $(-2, 2)$
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finding arc length try it in circle u below, vt = 90 inches. what is th…
26$\pi$ inches
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12.1 geometric sequences 31) geometric sequences have a common _______2…
1) ratio 2) $\frac{\text{any term}}{\text{previous term}}$ 4) Not a geometric sequence 5) Geometric sequence, common ratio $r=6$ 6) Geometric sequence, common ratio $r=-2$ 7) Not …
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go solve each inequality and graph the solution set on the number line.…
1. For $16 \leq 3x + 4$, the solution is $x \geq 4$. (Graph: closed circle at 4, shade right) 2. For $-37 < 7x - 2$, the solution is $x > -5$. (Graph: open circle at -5, shade rig…
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g the polygon interior angle sum theorem what is the sum of the measure…
1. $1080$ 2. $135$
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find the length of side $x$ to the nearest tenth. answer attempt 1 out …
$4.6$
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solve for $x$. round to the nearest tenth of a degree, if necessary:
$34.7^\circ$
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find the perimeter of each polygon. assume that lines which appear to b…
13) $\boldsymbol{41}$ 14) $\boldsymbol{56.8}$
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what is the measure of $angle b$ of the pentagon? $square^circ$ the pen…
$111^\circ$
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question find the length of side $x$ in simplest radical form with a ra…
$8\sqrt{3}$
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$\\overline{bd}$ and $\\overline{ac}$ are chords that intersect at poin…
4 units
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$\\overline{ax}$ and $\\overline{ex}$ are secant segments that intersec…
3 units
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line segment ba is tangent to the circle. what is the length of line se…
98 units
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point o is the center of the circle. what is the perimeter of quadrilat…
28 units
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line segment st is congruent to which line segment? $overline{sk}$ $ove…
\( \boldsymbol{\overline{UT}} \)
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line segment qp is tangent to the circle. what is the length of line se…
20 units
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$\\overline{rt}$ and $\\overline{gj}$ are chords that intersect at poin…
20 units
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$\\overline{su}$ and $\\overline{vt}$ are chords that intersect at poin…
13 units
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what is the length of line segment pq? ○ 4 units ○ 5 units ○ 6 units ○ …
5 units
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using the intersecting chords theorem custom drapes are being fitted fo…
10 feet
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using the two tangent theorem circle o is inscribed in the given triang…
44 units
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using the secant and segments theorem what is the value of x? ○ $x=2$ ○…
x=3
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segments theorem which equation results from applying the secant and ta…
D. $x(2x + 4) = (x + 2)^2$
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determining lengths of intersecting chord segments be is 2 units longer…
11 units
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geo - b - 9.4 -9.5 - trigonometric functions worksheet in exercises 3-8…
### Problem 3: $\sin D = \frac{4}{5} = 0.8000$, $\sin E = \frac{3}{5} = 0.6000$, $\cos D = \frac{3}{5} = 0.6000$, $\cos E = \frac{4}{5} = 0.8000$ ### Problem 4: $\sin D = \frac{35…
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practice analyzing segments created inside and outside circles. chords …
2.5 units
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question the sides of a triangle are 95, 34, and 70. use the pythagorea…
The triangle is obtuse, because the square of the largest side is greater than the sum of the squares of the other two sides.
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question the sides of a triangle are 26, 10, and 24. use the pythagorea…
The triangle is right because the square of the largest side equals the sum of the squares of the other two sides.