Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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2 find the angle measure. $\\angle3$ and $\\angle4$ are complementary a…
$44^\circ$
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quadrilateral m is the image of quadrilateral m under a dilation. what …
D
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your solution will satisfy the following equations:$square \times squar…
1. Length: 50 mm, Width: 50 mm, Height: 50 mm 2. Length: 80 mm, Width: 80 mm, Height: 80 mm 3. Length: 120 mm, Width: 120 mm, Height: 120 mm
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3. this two-column proof shows that $overleftrightarrow{ac}\\parallel\\…
| Statements | Reasons | |------------|---------| | $\overleftrightarrow{AB} \parallel \overleftrightarrow{CD}$ | Given | | $\angle ABD \cong \angle DCA$ | Given | | $\angle ABD$ …
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2 find the angle measure. $\\angle3$ and $\\angle4$ are complementary a…
$44^\circ$
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around the perimeter of the park.5 miles long and the long sides are 1.…
4 cm --- For the trail problem (partial text):
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1 which equation is perpendicular to the line $y = -\frac{1}{2}x + 4$ a…
C. $y = 2x - 1$
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which equation represents a circle that contains the point $(-2, 8)$ an…
A. $(x - 4)^2 + y^2 = 100$
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writing possessive nouns. a possessive noun possession of the noun that…
1. S (Possessive noun: Melinda's) 2. P (Possessive noun: dancers') 3. S (Possessive noun: actor's) 4. P (Possessive noun: parents') 5. S (Possessive noun: Roy Jones's) 6. S (Posse…
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which equation represents a circle with the same center as the circle s…
B. $(x - 4)^2 + (y - 5)^2 = 4$
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what is the center of a circle whose equation is $x^{2}+y^{2}-12x-2y+12…
(6, 1)
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name _______bell _______6. given that $overline{ab}$ and $overline{ad}$…
6. $x = 5$ 7. | Arc | Measure | Type of Arc | |-----|---------|-------------| | $\widehat{EA}$ | $144^\circ$ | Minor | | $\widehat{BCA}$ | $250^\circ$ | Major | | $\widehat{BAE}$ …
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which explains how to find the radius of a circle whose equation is in …
The radius is the square root of the constant term, z.
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name the highlighted arc.
Arc WFG (or Arc GFW)
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does the point $(2, \\sqrt{6})$ lie on the circle shown? explain. ○ yes…
No, the distance from (0, 0) to $(2, \sqrt{6})$ is not 3 units.
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7. are the lines $overleftrightarrow{ab}$ and $overleftrightarrow{cd}$ …
C. Yes
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what is the center of a circle represented by the equation $(x+9)^2+(y-…
(-9,6)
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7. are the lines $overleftrightarrow{ab}$ and $overleftrightarrow{cd}$ …
C. Yes
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which equation represents a circle with the same radius as the circle s…
D. $(x + 1)^2 + (y - 1)^2 = 16$
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which equation represents a circle with a center at $(-3, -5)$ and a ra…
D. $(x + 3)^2 + (y + 5)^2 = 36$
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use the image to answer the question. given $l = 30$ in., $w = 20$ in.,…
40.3 in.
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mrs. culland is finding the center of a circle whose equation is $x^{2}…
$(x + 3)^2 + (y + 2)^2 = 4^2$, so the center is $(-3, -2)$.
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5. consider the following figure. $(3x - 15)^\\circ$ $(y + 25)^\\circ$ …
$x = 30$
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determining whether a point lies on a circle the local pizza restaurant…
No, the distance from the restaurant to Ada's house is $\sqrt{41}$ miles, which is greater than the 6-mile maximum radius.
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analyzing a students work a circle centered at $(-1, 2)$ has a diameter…
No, he did not calculate the distance correctly.
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a line is graphed in the xy-plane shown. which of the following is an e…
C. $y = -\frac{3}{2}x$
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identifying the radius given an equation in general form what is the ra…
8 units
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11. if pqrs is a parallelogram, find the values of x and y.11. x = ____…
11. $x=4$, $y=6.5$ 12. $m\angle C \approx 80^\circ$ 13. YES 14. NO 15. YES
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consider a circle whose equation is $x^{2}+y^{2}+4x-6y-36 = 0$. which s…
- To complete the square for the x terms, add 4 to both sides. - The center of the circle is at (-2, 3).
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is im2b unit 7 task 04 4. solve for $x$. $(3x - 7)^\\circ$ $(x + 5)^\\c…
$x = 45.5$
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foundation use the graphic to answer the questions below. circle your a…
1. Telling "Back in my day ... " stories 2. Being good at dodgeball 3. Having a birthday party
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a circle centered at the origin contains the point (0, -9). does $(8, \…
Yes, the distance from the origin to the point $(8, \sqrt{17})$ is 9 units.
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to derive the standard formula of a circle, a radius r is constructed a…
$\boldsymbol{x-h}$, $\boldsymbol{y-k}$
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is im2b unit 7 task 04 3. solve for the value of x. enter each line of …
$105$
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a circle has a diameter of 12 units, and its center lies on the x-axis.…
B. $(x-6)^2+y^2=36$, E. $(x+6)^2+y^2=36$
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identify the cross section of the triangular prism. assume objects are …
D. The quadrilateral (rightmost orange shape)
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in the figure shown, $t \\parallel x$ and $k \\parallel w$ and $m\\angl…
D. 1, 5, 7, 9, 11, 14, 16
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23) $14m^4 + 152m^2 + 120$ 24) $2x^4 - 23x^2 + 45$ 25) johnny is studyi…
$2(7m^2+6)(m^2+10)$ --- ### Problem 24
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if $m\\angle4 = 35$, find $m\\angle3$. explain. a. 55; $\\angle3$ and $…
A. 55; $\angle 3$ and $\angle 4$ are complementary angles, so $m\angle 3 = 90 - m\angle 4$.
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concentric circles are circles with the same center but different radii…
$\boldsymbol{(x-8)^2+(y-9)^2=3}$, $\boldsymbol{(x-8)^2+(y-9)^2=14}$
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if $m\\angle4 = 35$, find $m\\angle3$. explain. a. 55; $\\angle3$ and $…
A. 55; $\angle 3$ and $\angle 4$ are complementary angles, so $m\angle 3 = 90 - m\angle 4$.
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writing an equation with a given center and ra which equation represent…
B. $(x-2)^2 + (y + 8)^2 = 121$
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what is $m\\angle2 + m\\angle3$? explain. a. 180; $m\\angle1 + 90 = 180…
C. 90; $m\angle 1 + m\angle 2 + m\angle 3 = 180$, $m\angle 1 = 90$, so $m\angle 2 + m\angle 3 = 90$.
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angles: practice select all the correct answers. which given pairs of s…
- AB = 3, BC = $3\sqrt{3}$ - AB = 14, AC = 28 - BC = $5\sqrt{3}$, AC = 10
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select all the true statements.a. $angle3 cong angle2$ because they are…
B. $m\angle1 + m\angle3 = 180$ because they form a straight angle. C. $\angle3 \cong \angle6$ because they are alternate interior angles. D. $\angle1$ and $\angle6$ are supplement…
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2. consider the diagram below: 2a what is the relationship between the …
C. They are congruent.
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question jevonte spots an airplane on radar that is currently approachi…
10168.1 feet
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drag each length to the correct location on the triangle. each length c…
The missing leg length is 13, and the missing hypotenuse length is $13\sqrt{2}$.
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2. consider the diagram below: 2a what is the relationship between the …
C. They are congruent.
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select the correct answer. the longer leg of a right triangle has a len…
$5\sqrt{3}$
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a boat is heading towards a lighthouse, whose beacon-light is 107 feet …
596 feet
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5. using the diagram, classify $angle 2$ and $angle 6$. compare angle m…
∠2 and ∠6 are alternate interior angles. Their measures are equal, justified by the Alternate Interior Angles Theorem.
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select the correct answer. freda waves a small flag pennant when her fa…
21.65
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trig word problems (level 2)score: 1/3 penalty: nonequestiona boat head…
2696 feet
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4. generalize for any pair of angles formed by a transversal intersecti…
1. The angles are congruent (equal in measure, e.g., corresponding angles, alternate interior angles, alternate exterior angles) 2. The angles are supplementary (their measures ad…
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1. select the diagram showing a pair of alternate interior angles: lets…
B. <Diagram with green angles between two lines, opposite sides of transversal>
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2. iotp is an isosceles trapezoid. find the missing values. a = b =
$a = 68$ $b = 112$
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3. error analysis what error did leah make? enter your answer. check an…
Leah incorrectly applied the Corresponding Angles Theorem to two non-parallel lines; this theorem only applies when a transversal intersects parallel lines. The angle ∠1 is not co…
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consider triangle xyz with altitude wz. what is xz? 28 21 type the corr…
14
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2. vocabulary when a transversal intersects two parallel lines, which a…
The congruent angle pairs are: 1. Corresponding angles 2. Alternate interior angles 3. Alternate exterior angles 4. Vertical angles (formed by the transversal itself, also congrue…
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1 solve for the unknown in each triangle. round each answer to the near…
a. $34.8^\circ$ b. $16.4$ in c. $17.9$ ft d. $30.2^\circ$
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find x. 45 46. 49. problem solving find the value of x in the figure at…
$x \approx 17.21$ --- ### For problem 45:
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1. essential question what angle relationships are created when paralle…
When parallel lines are intersected by a transversal, the following angle relationships are created: - **Corresponding angles**: Congruent (equal in measure) - **Alternate interio…
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kite and trapezoid properties 1. trap is a trapezoid. equation to find …
Equation to find x: $\boldsymbol{130 + x = 180}$ $\boldsymbol{x=50}$ Equation to find y: $\boldsymbol{(8y-12) + (5y-2) = 180}$ $\boldsymbol{y=\frac{194}{13}}$ (or approximately $\…
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claires backyard is in the shape of a rectangle, with the dimensions sh…
Rounded to the nearest tenth, the perimeter of Claire's yard is 68.3 feet. The area of Claire's yard is about 270.6 square feet. If we strictly use diagonal 35 ft: Perimeter: 95.6…
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for the triangle shown, what are the values of $x$ and $y$? select the …
$x = 2\sqrt{3}, y = 4\sqrt{3}$
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look at the diagram and evaluate. which of the statements below is true…
D. BE > DE
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which angle number represents an angle vertical to $angle mrj$? answer …
2
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which angle number represents an angle adjacent to $angle lsp$? answer …
Angle 4 or Angle 6
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if $m\\angle bgc = 69^\\circ$, then what is $m\\angle dga$? answer atte…
$69$
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which angle number represents an angle adjacent to $angle jrm$?
1 (or 2, as both are adjacent to ∠JRM; angle 1 is a valid answer)
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name the plane that is highlighted in the diagram below.
Plane FJD (or Plane JDH, Plane FHD, Plane FJH - any three non-collinear points on the highlighted plane are acceptable)
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name the plane that is highlighted in the diagram below.
Plane FJD (or Plane JDH, Plane FHD, Plane FJH - any three non-collinear points on the highlighted plane are acceptable)
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name the marked angle in 2 different ways. answer attempt 1 out of 2 ∠ …
$\angle NOQ$ $\angle O$
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o is the center of the regular dodecagon below. find its perimeter. rou…
18.6 units
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name the marked angle in 2 different ways.
1. $\angle G$ 2. $\angle EGF$
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quiz 7-1: angles of polygons & parallelograms part i: angles of polygon…
1. $3060^\circ$ 2. 12 sides 3. $140^\circ$ 4. $360^\circ$ 5. $36^\circ$ 6. $301$ 7. (No figure provided, cannot solve) 8. $7$ 9. (No figure provided, cannot solve)
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tiles $(ad)^2 + 1^2 = 2^2$ $(ad)^2 = 3$ $a^2 + b^2 = c^2$ $(ad)^2 + 1 =…
1. $a^2 + b^2 = c^2$ 2. $(AD)^2 + 1^2 = 2^2$ 3. $(AD)^2 + 1 = 4$ 4. $(AD)^2 = 3$ 5. $AD = \sqrt{3}$
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3 match the vocabulary word to the correct definition the sum of all th…
1. "The sum of all three angles in a triangle is 180°" → Triangle Angle Sum Theorem 2. "matching parts of an original figure and its scaled copy that are in the same relative posi…
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which of the following statements must be true based on the diagram bel…
$\overline{ST}$ is a segment bisector. $\overline{ST}$ is a perpendicular bisector. $S$ is the midpoint of a segment in the diagram. $T$ is the midpoint of a segment in the diagra…
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2 match the vocabulary word to the correct definition. if c is a point …
- If C is a point on the perpendicular bisector of AB, the distance from C to A is the same distance from C to B. → Perpendicular Bisector Theorem - an extra line drawn on a figur…
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o is the center of the regular nonagon below. find its perimeter. round…
39.3 units
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name the figure below in two different ways. symbol: and
$\overline{EQ}$ and $\overline{QE}$
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o is the center of the regular nonagon below. find its area. round to t…
$471.7$ square units
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there is a pair of parallel sides in the following shape. 9 4 5 what is…
28 units²
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question 6 2 pts rectangle $abcd$ is graphed in the coordinate plane. t…
12
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o is the center of the regular octagon below. find its area. round to t…
$1073.6$ square units
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amari is standing 50 feet from the base of a building. from where he st…
$\boldsymbol{50\sqrt{3}}$ ft
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#9) look at the venn diagram. read each statement and write a, b, c, d,…
### #9 Venn Diagram Placement: - **RECTANGLE only (non-overlapping left circle):** B, E - **RHOMBUS only (non-overlapping right circle):** D, F - **Overlap (both shapes):** A, C, …
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there is a pair of parallel sides in the following shape. 12 6 5 what i…
51
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express the trig ratios as fractions in simplest terms. answer attempt …
$\sin V = \frac{3}{5}$ $\cos U = \frac{3}{5}$ $\sin V$ and $\cos U$ are equal
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the following figure is made of 1 triangle and 1 rectangle. 3 10 7 find…
| Figure | Area (square units) | |-----------------|---------------------| | Triangle A | 20 | | Rectangle B | 30 | | Whole figure | 50 |
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look at the image below.14.5614what is the area of the parallelogram?sq…
84
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question #7 what is the vertical distance between points a and b on the…
0 units
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special right triangles: tutorial activity in this activity, you will i…
- $\angle BAD = 30^\circ$ - $\angle ADB = 90^\circ$ - Length of $\overline{BD} = 1$
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in the diagram shown, $m\\angle xwz = 90^\\circ$. what is $x$? $(5x + 5…
11
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point p is in the interior of ∠ozq. if m∠ozq = 125° and m∠ozp = 62°, wh…
$63^\circ$
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points a, b, and c are collinear, and b lies between a and c. if ac = 4…
30
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express the trig ratios as fractions in simplest terms. answer attempt …
$\sin V = \frac{3}{5}$ $\cos U = \frac{3}{5}$ $\sin V$ and $\cos U$ are equal
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name ariaquadrilaterals test review#1) look at each figure and select a…
1. First figure: Quadrilateral, Parallelogram, Rectangle Second figure: Quadrilateral, Trapezoid 2. true 3. true 4. false 5. true 6. false 7. true 8. - Diagonals bisect each other…