Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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1. give another name for line r.
AC
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1. give another name for line r.
CA
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1. give another name for line r.
AC, CA
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in the figure, (mangle1=(7x)^{circ}) and (mangle2=(x - 6)^{circ}). (a) …
(a) Equation: $7x+(x - 6)=90$ (b) $m\angle1 = 84^{\circ}$ $m\angle2 = 6^{\circ}$
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answer attempt 1 out of 2 m∠mon = submit answer
$64$
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in the figure below, m∠1=(x + 96)° and m∠2 = 3x°. find the angle measur…
$m\angle1 = 117^{\circ}$ $m\angle2 = 63^{\circ}$
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5. find the midpoint between each pair of points. (-1, -5) and (-5, 9) …
$(-3,2)$
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in the figure below, m∠1=(x + 42)° and m∠2 = 2x°. find the angle measur…
$m\angle1 = 58^{\circ}$ $m\angle2 = 32^{\circ}$
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in the figure below, (mangle abd = 72^{circ}), and (mangle1) is (14^{ci…
$m\angle2 = 29^{\circ}$
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8. name the intersection of plane r and line jl.
K
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question find m∠jlk.
$90^{\circ}$
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find the perimeter and area of the rectangle with vertices (5, -1), (-3…
Perimeter: 24 units Area: 32 square units
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the figure below shows a rectangular parking lot. 64 yd 84 yd (a) use t…
Perimeter: 296 yd Area: 5376 yd²
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nikkis backyard is in the shape of a rectangle. the length is 27 feet. …
B. $27\times(\frac{1}{3}\times27 + 4)$; 351 square feet
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nikkis backyard is in the shape of a rectangle. the length is 27 feet. …
B. $27\times(\frac{1}{3}\times27 + 4)$
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ruby is visiting san francisco. from her hotel she walks 3 blocks west …
3 blocks east and 3 blocks north
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extra practice in exercises 1 and 2, complete the proof. 1. given $over…
| STATEMENTS | REASONS | |--|--| | 1. $\overline{BM}\cong\overline{CM}$ | 1. Given | | 2. $\overline{CM}\cong\overline{DM}$ | 2. Definition of bisecting segments (since $M$ bisect…
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find the circumference of a circle whose diameter is 25 in. use 3.14 fo…
$78.5$
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5. ∠ace is a straight angle. write and solve an equation to find the un…
86°
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use & model a toy manufacturer produces a set of blocks, with edge (b),…
A. $6b^{2}$ B. $12b^{2}$ C. $12b^{2}\leq60$
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the graph of the quadratic function y = f(x) is shown. what is the vert…
C. \((0,2)\)
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find the circumference of a circle whose radius is 3.2 m. use 3.14 for …
$20.096$ m
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find the circumference and the area of a circle with diameter 5 yd. use…
Circumference: $15.7$ yd Area: $19.625$ yd²
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find the area and the circumference of a circle with diameter 8 ft. use…
Area: $50.24$ $ft^{2}$ Circumference: $25.12$ ft
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a rectangle is removed from a right triangle to create the shaded regio…
$11.5$ yd²
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find the area and perimeter of the rectangle with vertices (-4, 4), (0,…
Area: 20 square units Perimeter: 18 units
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using the aa similarity postulate determine whether the triangles are s…
7. Not similar 8. \(\triangle NPQ\sim\triangle RST\) 9. \(\triangle ABC\sim\triangle DEF\) 10. \(\triangle GJH\sim\triangle KML\) 11. \(\triangle XYZ\sim\triangle HGF\) 12. \(\tri…
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find the perimeter and area of the rectangle with vertices (4, 3), (-3,…
Perimeter: 34 units Area: 70 square units
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suppose the length and width of the rectangle are doubled. what is the …
G. 92 cm
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find the area of the triangle below. be sure to include the correct uni…
$28$ $cm^{2}$
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5. draw, label, and mark each figure. a. $ab^{leftrightarrow}parallel c…
# Explanation: ## Step1: Draw parallel rays Draw two rays $\overrightarrow{AB}$ and $\overrightarrow{CD}$ such that they never intersect, and mark the parallel - symbol $\parallel…
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in exercises 21 - 28, find the distance between the two points. 25. a(-…
$\sqrt{97}$
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name sensei varela date 9/11/25 class 8 reading check circle or highlig…
One reason Italy was the birthplace of the Renaissance was its connection to the cultural heritage of classical times which influenced art - like the rediscovery of techniques suc…
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in exercises 21 - 28, find the distance between the two points. 21. a(1…
$\sqrt{13}$
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in exercises 21 - 28, find the distance between two points. 21. a(13, 2…
10
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in exercises 21 - 28, find the distance between the two points. 21. a(1…
$\sqrt{13}$
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6. write a similarity statement for the triangles. then find the value …
The similarity statement is $\triangle GHJ\sim\triangle KLJ$ and $x = 6$.
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reading check circle or highlight one of the effects of the renaissance…
The flourishing of the arts due to patronage from powerful merchant families like the Medici.
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1. what is ab?
$4.8$ in
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points q and r lie on a circle with center p. the radius of this circle…
B. 13
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6. what is m∠r?
$107^{\circ}$
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5. what is m∠k?
$120^{\circ}$
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4. what is xy?
$\frac{25}{6}$ ft
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name senec varick date 9/1/25 class 8 reading check circle or highlight…
One reason Italy was the birthplace of the Renaissance could be its access to trade routes which brought wealth and exposure to different cultures and ideas.
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4. what is xy? 6. what is m∠r?
$XY=\frac{65}{6}\text{ ft}\approx10.83\text{ ft}$ $m\angle R = 111^{\circ}$
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reading check circle or highlight one of the effects of the renaissance…
Trade with the Muslim world provided the wealth that fueled the Renaissance.
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3. what is mp?
$19$ mi
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2. what is m∠z?
$160^{\circ}$
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in the figure shown, lines m and n are parallel, and line t intersects …
\(y < 55\)
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7. (mangle pqr, mangle tqs, mangle pqt, mangle rqs) 2x + 65 7x - 110
$m\angle PQR = 135^{\circ}$, $m\angle TQS = 135^{\circ}$, $m\angle PQT = 45^{\circ}$, $m\angle RQS = 45^{\circ}$
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in the figure shown, lines a and b are parallel, and line v intersects …
$19$
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abcd is a quadrilateral inscribed in a circle, as shown below: what equ…
(x + 16)+(6x - 4)=180
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question 1 (multiple choice worth 1 points) (07.03r mc) a ferris wheel …
10.99 feet
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in the figure shown, lines m and n are parallel, and line t intersects …
\(b = 47\), \(c = 47\)
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how much space does the object or substance in the picture take up? the…
$1$
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a point has the coordinates (0, k). which reflection of the point will …
B. a reflection of the point across the y - axis
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triangle abc is translated according to the rule (x, y) → (x + 2, y - 8…
D. (6, -13)
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parallelogram abcd is rotated to create image abcd. which rule describe…
A. $(x,y)\to(y, -x)$
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a line segment has endpoints at (-1, 4) and (4, 1). which reflection wi…
D. a reflection of the line segment across the line $y = -x$
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which figure represents the image of parallelogram lmnp after a reflect…
B. figure B
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triangle abc is shown on the graph. what are the coordinates of the ima…
B. (2, 4)
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triangle pqr has vertices p(-2,6), q(-8,4), and r(1,-2). it is translat…
D. - 10
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at which angle will the hexagon rotate so that it maps onto itself? 60°…
A. 60°
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which rule describes a composition of transformations that maps pre - i…
D. $r_{y - axis}\circ R_{0,270^{\circ}}(x,y)$
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right triangle lmn has vertices l(7, -3), m(7, -8), and n(10, -8). the …
D. $(x,y)\to(x - 8,y + 11)$
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which rule describes the composition of transformations that maps figur…
D. $r_{m}\circ R_{C',180^{\circ}}$
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which statements are true about the reflectional symmetry of a regular …
- C. A line of symmetry will connect a vertex and a midpoint of an opposite side. - D. It has 7 - fold symmetry.
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a parallelogram is transformed according to the rule (x, y) → (x, y). w…
D. $R_{0,360^{\circ}}$
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triangle abc is rotated to create the image abc. which rule describes t…
C. $(x,y)\to(-x,-y)$
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a rectangle is transformed according to the rule $r_{0,90^{circ}}$. the…
D. $(4, 3)$
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the function rule $t_{ - 4,6}(x,y)$ could be used to describe which tra…
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
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a composition of transformations maps pre - image efgh to final image e…
a 180° rotation about point H
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square rstu is translated to form rstu, which has vertices r(-8, 1), s(…
$(4,-9)$
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the image of trapezoid pqrs after a reflection across wy is trapezoid p…
180°
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the rule $t_{1, - 4}circ r_{o,180^{circ}}(x,y)$ is applied to rectangle…
(Without the actual visual inspection of the final - image rectangles 1 - 4, we cannot give a specific number. But the above is the process to find the answer. If you can provide …
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what is a common application of the sss method? a. calculating internal…
1. c. Surveying property boundaries 2. d. SAS uses an included angle, while ASA uses an included side. 3. b. The shape must be strictly defined
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13. triangle xyz has sides xy = 3, yz = 5, and xz = 6. which set of sid…
13. d. $AB = 3, BC = 5, AC = 6$ 14. d. SAS 15. c. $\angle K=\angle N$
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10. what does sss stand for in geometry? a. side - side - side b. side …
10. a. Side - Side - Side 11. d. Equal corresponding sides 12. b. Two sides and the included angle are equal
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7. if two triangles are congruent by sss, what can be inferred about th…
7. b. Their perimeters will be equal. 8. d. GHI with sides 4 cm, 5 cm, 6 cm 9. a. They have corresponding angles and included side that are equal
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4. if △abc≅△def by asa, which of the following pairs of angles are cong…
4. C. \(\angle B\) and \(\angle E\) 5. C. The included angle between two sides 6. C. Side - Angle - Side
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1. which postulate or theorem states that two triangles are congruent i…
1. b. ASA Congruence Postulate 2. a. 3 cm, 4 cm, 6 cm 3. d. \(\angle D = 60^{\circ}\) and \(\angle E = 50^{\circ}\)
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a find the area covered by the rack using an appropriate two - dimensio…
4.0 square inches
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world record: two worlds largest ice - cream cake was created on may 10…
\(280.8\) \(m^{2}\)
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world record the worlds largest ice - cream cake was created on may 10,…
$18.1$
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french & indian war map analysis it is the aftermath of the war between…
1. Use red to circle Fort Duquesne in western Pennsylvania on the map. 2. Use blue to trace General Wolfe's route to Quebec on the map. 3. Analyze the map and use orange to circle…
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the criterion used to determine triangle congruence using two sides and…
1. Side - Angle - Side (SAS) congruence criterion 2. Included angle 3. Congruent triangles 4. Included angle 5. Congruent 6. Side - Angle - Side 7. Included
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4. if be is a perpendicular bisector of ad, which statement is true? ce…
$\overline{AC}\cong\overline{CD}$
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3. if de is the perpendicular bisector of ac, which of the following st…
$\overline{BD}\cong\overline{BE}$
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2. if jh is the perpendicular bisector of (overline{gi}), what is ji? 3…
21
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1. what kind of relationship do $overleftrightarrow{cf}$ and $overline{…
B. Skew
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which angle is crucial in the sas criterion? a. any angle in the triang…
1. c. The included angle 2. b. Two sides and the included angle 3. a. The triangles are identical in size and shape
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relationships between lines quiz geometry a (fa25) co 3 / geometry a / …
corresponding
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11. based on paragraph 5, what can be inferred about the atmosphere of …
11. A. It offers comfort and friendship to all. 12. A. "As Mrs. Teczynska passed through the massive front door, which was opened for her by an elderly, not to say old, man - serv…
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1. in the rectangular prism below bc and cf are perpendicular because..…
They intersect at a 90° angle and are on the same plane.
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why is the included angle important in the sas criterion? a. it is the …
1. d. It ensures the two sides are connected correctly 2. d. SAS 3. a. Verifying two sides and an included angle match
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read the passage - excerpt from our little polish cousin: \the arrival …
1. A. "Mr. Ostrowski assisted his daughter and the little grandson Jan to disentangle themselves from the heavy fur robes, and they were hurried into the warm reception room." 2. …
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4. in the picture below ad and cf are skew because... they will interse…
They will not intersect and are not on the same plane.
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geometry a (fa25) co 3 / geometry a / angles and 3. what kind of angles…
Supplementary Angles
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relationships between lines quiz geometry a (fa25) co 3 / geometry a / …
The two lines have the same distance between them.
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what is the included angle between sides ab and ac in △abc? a. ∠bca b. …
1. b. $\angle BAC$ 2. b. $\triangle DEF$ with $DE = 7$cm, $DF = 5$cm, $\angle EDF = 50^{\circ}$ 3. c. They are congruent