Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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the transformation that involves turning a figure around a fixed point …
1. Rotation 2. Size 3. Dilation 4. Sides
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for each part, just put the number. dont put x = # or a degree symbol o…
- v: 35 - w: 113 - x: 67 - y: 73
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for each part, just put the number. dont put x = # or a degree symbol o…
1. 115 2. 115 3. 65
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q1 - accelerated mathematics gr 8 | guided notes: creating congruent fi…
1. $x$ and $y$ coordinates 2. $x$ 3. size 4. angles
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if m∠1 = 120°, what is the m∠3?
$60^{\circ}$
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question solve for $x$ and graph the solution on the number line below.…
Inequality Notation: $x\leq7$ Number Line: On the number - line, place a closed circle at 7 and draw a line to the left.
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transformations like translations, rotations, and reflections can be us…
congruence
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for each part, just put the number. dont put x = # or a degree symbol o…
- v: 35 - w: 25 - x: 27 - y: 67
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for each part, just put the number. dont put x = # or a degree symbol o…
45 The angle with the green arrow (measure $x^{\circ}$): 45 The angle with the blue arrow (measure $3y^{\circ}$): 135
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for each part, just put the number. dont put x = # or a degree symbol o…
1. 32 2. 90 3. 90
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c. solve for x in each diagram. 1. 2. 3. 4.
1. $x = 31^{\circ}$ 2. $x = 8^{\circ}$ 3. $x = 27^{\circ}$ 4. $x = 146^{\circ}$
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for each part, just put the number. dont put x = # or a degree symbol o…
20 80 100
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what does the distance formula calculate? a. the slope between two poin…
d. The distance between two points.
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for each part, just put the number. dont put x = # or a degree symbol o…
1. 25 2. 65 3. 65
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q1 - accelerated mathematics gr 8 | lesson: creating congruent figures …
First question: C. (4,-3), (4,-7), and (2,-6) Second question: A. Dilation
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which of the following does not preserve the size of a figure? a. dilat…
1. a. Dilation 2. None of the above (since translation and dilation do not result in a congruent figure, but the options are not correct as written; if we assume we are looking fo…
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which sequence of transformations results in a figure congruent to the …
1. b. Reflection and Rotation 2. a. Reflection and Translation
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5. find an expression, in its simplest form, for the perimeter of this …
$4y - 4$
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q1 - accelerated mathematics gr 8 | lesson: creating congruent figures …
1. a. Reflection and Translation 2. It does not affect congruence (not listed in the options provided, but the correct concept; if we assume the closest correct - like option was …
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for each part, just put the number. dont put x = # or a degree symbol o…
160 160 110
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c. solve for x in each diagram. 1.
$49^{\circ}$
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3. find an expression, in its simplest form, for the perimeter of this …
$12y - 4$
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how does translating a figure affect its congruence? a. it changes the …
1. d. It does not affect congruence. 2. a. Distance formula
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which formula is used to calculate the distance between two points on a…
A. Distance formula
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2. find an expression, in its simplest form, for the perimeter of this …
\(7x + 4\)
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for each part, just put the number. dont put x = # or a degree symbol o…
11 122 58
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what is the missing side length of the following figure? a. 4.1 b. 3.6 …
A. 4.1
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1. find an expression, in its simplest form, for the perimeter of the t…
$3x + 5$
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a. find and circle... b. now, choose two circled items and tell whether…
1. le français 2. les magasins 3. allemand 4. étudier les sciences
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what type of transformation involves flipping a figure over a line of s…
A. Reflection
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if the two shapes are congruent, what is the length of cd? a. 4.5 b. 3.…
b. 3.6
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identify the slope and y - intercept of the following equations: 1) $y …
1. Slope: $\frac{7}{3}$, y - intercept: $-17$ 2. Slope: $-\frac{2}{5}$, y - intercept: $10$ 3. Slope: $\frac{1}{5}$, y - intercept: $0$ 4. A. $y - y_1=m(x - x_1)$ 5. C. $y=mx + b$…
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p(□, ) q(, ) r(, ) submit
P(8, - 2) R(4, - 2)
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complete the square and write the given equation in standard form. then…
$$(x + 1)^{2}+(y + 2)^{2}=1$$
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pq is a translation of pq. write the translation rule.
\((x,y)\to(x + 8,y + 12)\)
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4 find the value of y. (8y - 13)° (3x + 4)° (10x - 19)° a) 12 rihanna b…
C. 16
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name: mid unit study guide r 1. 12 cm 7 cm find the area. a) 84 cm² b) …
1. a) 84 cm² 2. There is an error in the options provided for the parallelogram problem as "Minnesota Wild" is not a valid measurement for area. If we ignore the wrong option, the…
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complete the square and write the given equation in standard form. then…
$(x + 3)^{2}+(y + 3)^{2}=1$
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activity a chapter 8 the dating process serves many important functions…
1. Explanation: It can open you up to different people and expand your social circle. Example: Meeting a person from a different cultural background on a date and learning about t…
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self - assessment 2. complete the two - column proof. then write a flow…
3. \(AB + BC=CD + DE\) 4. Segment - Addition Postulate 5. \(AC = CE\) 6. Definition of Congruent Segments
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name: mid unit study guide 1. find the area. a) 84 cm² b) 84 cm 2. find…
84 cm²
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49. where is the statue of liberty? a. near new york city b. near los a…
(49) a. Near New York City (50) c. Because there were 13 original colonies (51) a. The Star - Spangled Banner (52) b. Because there are 50 states
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name: xavia date: 9/17/25 mid unit study guide review q 2. find the are…
c) $12$ $cm^{2}$
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1. complete the flowchart proof. then write a two - column proof. given…
For the flowchart, the middle box: $\angle B = 90^{\circ},\angle C = 90^{\circ}$ For the two - column proof: | STATEMENTS | REASONS | |--|--| | 1. $\overline{AB}\perp\overline{BC}…
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18 x - intercept ________ y - intercept ________ 22 x - intercept _____…
16: x - intercept: 1 y - intercept: 2 22: x - intercept: 3 y - intercept: 4
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16 x - intercept _ y - intercept _ 22 x - intercept (3,0) y - intercept…
Problem 16: x - intercept: (0,0) y - intercept: (0,0) Problem 22: x - intercept: (3,0) y - intercept: (0,3)
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using symmetry as a sketching aid in exercises 31 - 34, assume that the…
# Explanation: ## Step1: Comprender la simetría Para la simetría en el eje - y, si un punto \((x,y)\) está en la gráfica, entonces el punto \((-x,y)\) también está en la gráfica. …
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2 find m∠rqt. (4x + 15)° (10x - 3)° a) 59° b) 61° c) 63° d) 117° e) 119°
D. $117^{\circ}$
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x - intercept y - intercept 21 x - intercept y - intercept
First graph: x - intercept: 1 y - intercept: - 1 Second graph: x - intercept: 0, 3, 5 y - intercept: 0
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2b understanding word relationships circle the letter next to each corr…
1. B. fauna, C. menagerie, D. canine 2. B. pittance, C. modicum 3. A. irascible, B. choleric, D. churlish 4. B. sumptuous, C. opulent
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use the map shown below to find the distance between cities a and b to …
$7.2$
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find the midpoint of the line segment with the given endpoints. (-6, -7…
$(-6.5,-4.5)$
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1 find m∠dbc. (6x + 7)° (8x - 27)° a) 95° mrs. healy b) 98° mr. addison…
E. 109°
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30. given: ∠jkm and ∠mkl form a linear pair; ∠jkm and ∠lkn are suppleme…
2. If two angles form a linear pair, they are supplementary. 4. Subtraction property of equality.
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use the map shown below to find the distance between cities a and b to …
$6.3$
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use the map shown below to find the distance between cities a and b to …
(No se pueden proporcionar valores finales sin conocer las coordenadas de A y B del gráfico)
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use the map shown below to find the distance between cities a and b to …
1. **Explanation**: - **Step 1: Identificar las coordenadas de los puntos** Supongamos que el punto \(A\) está en \((x_1,y_1)=(0,0)\) y el punto \(B\) está en \((x_2,y_2)=( - 2,6)…
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find the midpoint of the line segment joining points a and b. a(2, - 7)…
$(2,-3)$
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definition of angle bisector definition of complementary angles definit…
4. Definition of congruent angles 5. Vertical Angles Theorem 6. Definition of congruent angles 8. Definition of complementary angles
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bellwork: theme & allusion (8th grade) directions: answer the following…
1. The main idea is the central point of the text; the theme is a universal message about life. 2. Effort matters more than a perfect score. 3. b) Hard work 4. b) This feels like …
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describe and correct the error a student made in finding the midpoint o…
$(-\frac{5}{2},\frac{1}{2})$
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1. rectangle defg with vertices d(-2, 7), e(2, 3), f(0, 1), and g(-4, 5…
\(D''(-4,-1)\), \(E''(-8,-5)\), \(F''(-6,-7)\), \(G''(-2,-3)\)
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wednesday 9/24 square wxyz is rotated 180° counterclockwise about the o…
(-4,-2)
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square wxyz is rotated 180° counterclockwise about the origin. the orig…
(-4,-2)
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read the sentence. the squirrel who ran in circles around the circumfer…
The squirrel, who ran in circles around the circumference of the tree, chattered angrily at the curious cat.
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what are the coordinates of point c?
(-4, - 3)
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what are the coordinates of point t?
(-5, -4)
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which point has coordinates (2, 3)?
$R$
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1. which of the following is not a proposition? a. the aurora borealis …
1. A. The aurora borealis or northern lights 2. D. I beg your pardon, my dear 3. B. A repeating decimal is a rational number if and only if all real numbers are rational. 4. C. If…
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use the image to answer the question. $\triangle lafcong\triangle now$.…
12
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using the aas congruence theorem, what other information proves △big≅△c…
\(\angle I\cong\angle O\)
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1. find the value of y (2x + 40°) (3x - 10) (4y + 10) a. 30 b. 100 c. 2…
If we assume the problem is mis - worded and we want the value of the angle \(4y + 10\) (which is equal to the vertical angle \(2x + 40\) or \(3x-10\) when \(x = 50\)), the value …
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what single rigid transformation maps △abc → △edc? (1 point) rotation t…
rotation
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to show how aas follows from the definition of congruence, answer the f…
C. reflection
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use the image to answer the question. these triangles are congruent by …
5
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in problems 1 - 4, use the diagrams. 1. name a pair of adjacent complem…
1. Example: 34° and 56° adjacent complementary angles (depending on diagram) 2. Example: Angles on a straight - line adjacent supplementary angles 3. Non - adjacent angles summing…
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if point a is (-2, -1) and point b is (3, 2), what is the distance betw…
5.83
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what is the distance formula? 6/10 d = sqrt((x2 - x1)^2 + (y2 - y1)^2) …
$d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$
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find the distance between a(-2, -1) and b(3, 2) d = sqrt((x2 - x1)^2+(y…
$\sqrt{34}$
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if two angles are not corresponding, alternate interior, or alternate e…
None of the above (as none of Congruent, Parallel, Supplementary, Equal describe their relationship based on the given conditions)
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topic 3: distance & midpoint formula distance formula: $sqrt{(x_1 - x_2…
\(5\sqrt{2}\) 15.
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what does it mean for angles to be congruent? they are supplementary. t…
They have the same angle measure
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what does it mean for angles to be congruent? they are supplementary th…
They have the same angle measure
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based on the diagram, what additional information must be stated in ord…
\(\angle A\cong\angle D\)
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the diagram shows that ∠hgi ≅ ∠jgi and ∠gih ≅ ∠gij. what additional con…
$\overline{HI}\cong\overline{JI}$
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11. if s is the midpoint of rt, rs = 5x + 17, and st = 8x - 31, find rs…
11. \(RS = 97\) 12. \(AC = 38\) 13. \(DE = 11\)
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in △abc and △def, ∠a ≅ ∠d and ∠b ≅ ∠e. what additional information is n…
$\overline{AB}\cong\overline{DE}$
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what description best describes the asa criterion? (1 point) two congru…
one pair of congruent sides between two pairs of congruent angles
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what theorem can be used to conclude that the triangles are congruent? …
C. SAS Congruence Theorem
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are the triangles congruent? (1 point) yes, △abc ≅ △nlm by the ssa cong…
No, the triangles are not necessarily congruent.
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unit 1 test study guide (geometry basics) name:____ date:____ per:____ …
1. **Answer - Question 1**: - # Explanation: ## Step1: Recall collinear points definition Collinear points lie on the same line. Points \(H\) and \(N\) lie on the same line as poi…
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caroline is given this diagram and told that $overline{eg}$ is an angle…
$\overline{EG}\cong\overline{EG}$ - Reflexive Property of Congruence $\angle HEG\cong\angle FEG$ - Angle Bisectors create congruent angles $\overline{HE}\cong\overline{FE}$ - Give…
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what theorem would you use to prove that these two triangles are congru…
B. SSS
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which angles are congruent? alternate exterior angles all of the above …
E. All of the above
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if ∠x≅∠d, ∠w≅∠f, ∠y≅∠e, (overline{xy}congoverline{de}), (overline{yw}co…
$\triangle XYW\cong\triangle DEF$
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if $\triangle efgcong\triangle rst$, what conclusion can be drawn about…
D. $\angle F\cong\angle S$
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when mapping △def onto △jkl to prove they are congruent, which of the f…
$\overline{DE}\cong\overline{JK}$
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1) on a scale drawing, 1 inch represents 8 feet. if a garden is 24 feet…
1. 3 inches 2. 6 cups 3. 36 4. 40 boys 5. $-8,-3.5,-\frac{1}{4},|8|,12$ 6. 40 $cm^{2}$ 7. 392 square feet
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what would you say in the following situations? match the situations on…
1. Greet a classmate: F. ¡Hola! ¿Qué tal? 2. Someone asks how you are. Respond that you are feeling so - so: D. Estoy regular. 3. Say good - bye to a friend: B. ¡Hasta mañana! 4. …
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which of the following statements is true? the coordinates of the point…
The coordinates of the point where the line crosses the $y$-axis always have the form $(0,y)$.