Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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ii. state whether these triangles are congruent by asa, aas, or none.
1. ASA 2. ASA 3. AAS 4. AAS 5. ASA 6. AAS
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a sequence of transformations maps pentagon abcde onto congruent pentag…
B. reflect over y - axis, then translate 1 unit right and 3 units up C. rotate 180°, then followed by a 90° clockwise rotation about the origin E. a reflection across the line y =…
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trapezoid abcd and its transformation are shown on the coordinate grid.…
B. Reflect over the y - axis, translate 1 unit right and one unit down D. Translate 1 unit right and one unit down, reflect over the y - axis
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5 multiple choice 1 point is the vertex of the parabola shown in the gr…
D. minimum; (-4, -6)
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measure ∠rst with the protractor and write your answer to the nearest d…
70°
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the transformations given are performed on triangle abc to create trian…
C. are / each
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ii. (continued) state whether these triangles are congruent by asa, aas…
II.7: ASA II.8: ASA II.9: AAS II.10: ASA II.11: ASA II.12: AAS III.1: HL III.2: HL III.3: HL III.4: HL III.5: HL III.6: HL III.7: HL III.8: HL III.9: HL III.10: HL III.11: HL III.…
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determine which of the following transformations preserve congruence. s…
A. $(x,y)\to(-y,x)$ B. $(x,y)\to(-x,-y)$ E. $(x,y)\to(x + 3,y + 3)$
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use the diagram and the given angle measures to find the indicated angl…
C. 89
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complete the proof. given: m∠bca = 78°. m∠cfg = 102°. prove: m || n
Since \(\angle BCA\) and \(\angle CFG\) are supplementary, we can conclude that \(m\parallel n\).
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1c. classify the relationship between each pair of angles as alternate …
1 and 4: vertical 1 and 8: alternate exterior 6 and 4: alternate interior 3 and 6: consecutive interior 2 and 6: corresponding 7 and 8: linear
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question 13 two triangles have the same angle measures, but different s…
They are similar but not congruent. ### Question 14
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measure ∠pqr with the protractor and write your answer to the nearest d…
<The actual measured value in degrees, which cannot be determined without actually measuring on the protractor. If we assume a measurement after using a protractor, for example, 5…
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question 12 triangle a is congruent to triangle b. what must be true ab…
They have equal side lengths and equal angles.
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question 11 a triangle is flipped over the x - axis. which transformati…
Reflection
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independent task draw any right angled triangle and identify their type…
If all side lengths are different, it is a scalene right - angled triangle. If two side lengths are equal, it is an isosceles right - angled triangle.
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question what is the volume, in cubic feet, of a rectangular prism with…
324
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a rectangular prism has a length of 16 meters, a height of 3 meters, an…
336
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the length of a rectangle is the sum of the width and 1. the area of th…
6
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3. find the pre - image (x - 9,y + 13) g______→g(5, - 29) h______→h(20,…
$G(14,-42)$ $H(29,-32)$ $I(30,-17)$ ### 4.
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find the surface area of a square pyramid with side length 1 m and slan…
$9$m²
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find the surface area of a square pyramid with side length 3 in and sla…
39
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answer attempt limit of 2 cm² submit answer
$27$
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a side of the triangle below has been extended to form an exterior angl…
$21$
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find the surface area of a square pyramid with side length 6 ft and sla…
96 square feet
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a side of the triangle below has been extended to form an exterior angl…
\(x = 25\)
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question find the surface area of a square pyramid with side length 2 y…
12 square yards
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4. given the diagram below, find the height of the shorter tree. 39 m 4…
13 m
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answer attempt 1 out of 1 blank km² submit answer
$94$
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1. find m∠1 and m∠2. tell which theorem you would use in each case. 2.
1. - \(m\angle1 = 117^{\circ}\), \(m\angle2 = 117^{\circ}\), Theorem: Corresponding - angles theorem. - Explanation: When two parallel lines are cut by a transversal, correspondin…
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3. given the diagram below what is the length of (overline{rs}) or the …
53 ft
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2. if lm = 9x + 27 and rs = 135, find x.
12
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1. a man whose height is 2.1 m casts a shadow that is 3.2 m in length. …
7.5 m
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find the surface area of the rectangular prism. answer attempt 1 out of…
$122m^{2}$
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1. find m∠1 and m∠2. tell which theorem you would use in each case. 2.
$m\angle1 = 117^{\circ}$, $m\angle2=117^{\circ}$
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answer attempt 1 out of 2 in² submit answer
94
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answer attempt 1 out of 2 submit answer
$90$
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3. find the value of x. show your steps. 4.
For the first problem: \(x = 64\) For the second problem: \(x=\frac{48}{7}\)
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v. write one similarity and one difference between margery’s life in th…
Similarity: [To be filled based on context, e.g., She has close - knit social circles in both places.] Difference: [To be filled based on context, e.g., The city has more entertai…
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the pythagorean theorem > section exercises 7.3 > exercise 9 the length…
The length of the leg was substituted for the wrong variable.
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what is the hypotenuse of △prs?
PR
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perimeter of a triangle write an algebraic expression to represent the …
\(102.8x\)
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the perimeter of a rectangle find a completely simplified expression fo…
$10x - 8$
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find the missing length of the triangle. 26 cm 10 cm b b = cm
24
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find the missing length of t 5.6 in. 10.6 in. a a > in. 5
9 in
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in the following diagram, two parallel lines are cut by a transversal. …
$33$
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find the missing length of the triangle. 20 km 21 km c
$29$ km
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which of the following points is a y - intercept? hint: (0,y) (3,3) (3,…
(0, 3)
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directions - match the following geometry terms with the correct defini…
POINT - A location that has no size or shape LINE - Made of any 2 points, with no thickness or width PLANE - A flat surface made up of any 3 points COLLINEAR POINTS - Points that …
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which equation represents a line perpendicular to the line x = -2? x = …
$y = 5$
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take 6 writing: financial institutions instructions: answer the prompt …
Financial institutions offer loans for business expansion, handle deposits and savings, and facilitate financial transactions. They also provide investment opportunities and manag…
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take 6 writing: financial institutions instructions: answer the prompt …
Financial institutions offer loans, handle deposits and savings, and facilitate investments which impact business transactions and finances.
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identify the following angles associated with the parallel lines cut by…
∠1 and ∠3 - Linear Pair ∠1 and ∠4 - vertical angles ∠7 and ∠3 - alternate exterior angles ∠6 and ∠3 - alternate interior angles ∠2 and ∠7 - corresponding angles
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determinar si un triángulo con estas longitudes laterales es un triángu…
(a) Sí es un triángulo rectángulo. (b) Sí es un triángulo rectángulo. (c) No es un triángulo rectángulo. (d) No es un triángulo rectángulo.
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which of the following points is considered to be an x - intercept? hin…
(3,0)
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determine the most precise name for the quadrilateral $jklm$ with the f…
Parallelogram
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13. determine what lines can be parallel based on the given information…
a. Lines $p$ and $s$ are parallel by the Alternate - Interior Angles Theorem. b. Lines $p$ and $s$ are parallel by the Corresponding Angles Theorem. c. Lines $p$ and $s$ are paral…
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#19: two angles that form a linear pair are always supplementary. choos…
19. True 20. False, counter - example: May
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question point b is on line segment ac. given ab = 4x - 6, ac = 2x + 10…
22
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point b is on line segment ac. given ab = 4x - 6, ac = 2x + 10, and bc …
34
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the table below gives the shape and color of toy blocks in a certain se…
Given statement: True Inverse: "If a toy - block is not a square, then the toy - block is not red", False Contrapositive: "If a toy - block is not red, then the toy - block is not…
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find the distance between two points on the coordinate plane keep going…
The distances for each pair of points need to be calculated using the distance formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ by identifying the coordinates of the two points in e…
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1st 9 weeks review geometry basic geometry no late credit grade: 3% com…
$12$
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#17: if the area of a rectangle measures 20 square inches, the side len…
#17: False. Counter - example: side lengths 2 inches and 10 inches (since $2\times10 = 20$ square inches). #18: False. Counter - example: $1\times5 = 5$, the product is not larger…
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question point c is on line segment bd. given cd = 11 and bd = 17, dete…
6
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5. a 10 - meter cable is stretched from the top of a pole to an anchor …
5. The height of the pole is approximately \(9.17\) meters. 6. The perimeter of the rectangle is approximately \(32.784\) inches. 7. The length of the square's diagonal is approxi…
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question what is the image of the point (-8, 7) after a rotation of 90°…
$(-7,-8)$
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question what is the image of the point (-7, -8) after a rotation of 18…
$(7,8)$
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#18 if two angles are complementary, both angles are acute. choose if t…
1. False; Counter - example: 90 - degree and 0 - degree angles 2. True; No counter - example (since the statement is true)
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try it yourself! use the pythagorean theorem to find th
$\sqrt{37}$
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find the midpoint of the line segment with the given points. (-2, -2) a…
$(-3,-5)$
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the hypotenuse of a right triangle measures 16 inches, and the height m…
11.6 inches
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#9: is the 16th figure black or white?* 1 point white #10: is the 19th …
#9: black #10: white #11: circle #12: hexagon
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question 6 (multiple choice worth 2 points) (triangle trigonometry lc) …
10.8 feet
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question 5 (multiple choice worth 2 points) (triangle trigonometry mc) …
$4.2^{\circ}$
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use the sequence and inductive reasoning to make a conjecture. #9: is t…
#9: White #10: White #11: Circle
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question 4 (multiple choice worth 2 points) (triangle trigonometry mc) …
11.8 feet
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what is the measure of the angle labeled a in the scale drawing of the …
A. \(\sin^{-1}(\frac{9}{15})\)
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a 5 - foot - tall person is standing on the ground 50 feet away from a …
33.9 feet
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question: michelle is building a dog pen as shown in the scale drawing …
$36.87^{\circ}$
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a right triangle is given. determine the value for x. 5.7 11.7 6.3 9.8
$11.7$
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5. ∠lmn is a straight angle. find m∠lmp and m∠nmp ( 16x + 13) ( 20x + 2…
$m\angle{LMP}=69^{\circ}$, $m\angle{NMP}=111^{\circ}$
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a right triangle is given. what is the value of the angle theta? 31.6° …
$52.0^{\circ}$
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which of the following statements is true about the two acute angles in…
A. They are complementary angles.
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write a rule that represents each reflection of the arrows below. 11. 1…
The rule for reflecting over the y - axis is $(x,y)\to(-x,y)$
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round all answers to the nearest tenth, unless otherwise specified. 1. …
1. Yes 2. 10.4 feet 3. 13.6 miles 4. 2.8 blocks
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steven performs a transformation on a parallelogram. the resulting para…
B. dilation
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question 7 (multiple choice worth 2 points) (transformations mc) which …
Square
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10. find x and y.
\(x = 20\), \(y = 140\)
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solve for x find m∠jkm find the measure of the exterior angle find m∠1
For the first triangle: \(x = 50.5\); For the second triangle: \(x = 75\); For the third triangle: \(x = 24\); For the fourth triangle: \(x = 27.5\)
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what is the order of rotational symmetry and the angle of rotation for …
Order = 6, angle of rotation = 60°
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the distance between each pair of points.
$10$ units
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multiple choice circle the best answer, and write the letter in the bla…
1. B. governor 2. B. pardon 3. D. all of the above 4. A. governor 5. D. all of the above
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given that the two parallel lines are cut by a transversal, and the mea…
$m\angle1 = 115$ degrees, $m\angle3 = 115$ degrees, $m\angle4 = 65$ degrees, $m\angle7 = 65$ degrees
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question michelle is building a dog pen as shown in the scale drawing b…
48 feet
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which figure has an order of reflectional symmetry that is greater than…
Regular pentagon
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10) 12x - 4 11x + 3 11) 126° 31x + 2 12) 7x + 3 80° 13) 95° x + 93 14) …
# Explanation: ## Step1: Use corresponding - angles property When two lines are parallel, corresponding angles are equal. For example, in problem 10), if the lines are parallel, t…
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question 3 (multiple choice worth 2 points) (transformations lc) which …
A. A
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which pattern does not have translational symmetry?
The third pattern (the one with the circular and colorful central - symmetric design in a square)
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4. an airplane is 215.7 km due west of radio tower x. tower x is 164.8 …
$N37.6^{\circ}E$