Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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find the standard equation of the parabola shown in the figure.
\(y=\frac{1}{8}(x + 2)^2-1\)
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the points on a line can be matched one - to - one with the real number…
9
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find the standard equation of the parabola shown in the figure.
$y=-\frac{2}{3}(x - 3)^2+6$
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8 from unit 1, lesson 2 here is a diagram. starting with two marked poi…
8. 1. Place the compass on point $A$, set its width to $AB$, and draw a circle. 2. Place the compass on point $B$, set its width to $AB$, and draw a circle. The two circles inters…
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use the given endpoint a and midpoint m of line segment ab to find the …
$y = 67$
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the surface area of the solid shown is 432 square inches and its volume…
The surface - area is 432 square inches and the volume is 576 cubic inches.
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summarize and paraphrase circle the letter of the best answer. 1. what …
1. C 2. D 3. A 4. B 5. B 6. (To be done on separate paper) 7. (To be done on separate paper)
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charlette is wrapping several presents for a holiday party. her wrappin…
15.5
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use the given endpoint r and mid - point m of line segment rs to find t…
-1
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identify the slope and y - intercept of the line aphed on the coordinat…
$m=-5$, $b = 5$
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18. what is the value of x? ans. 19. name a pair of vertical angles. a)…
18. \(37\) 19. a) \(\angle COB\) and \(\angle AOD\)
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16. find the value of x. ans. 17. what is the measure of angle y? ans.
16. 118 17. 65
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this plane shape is a it has ______ sides and ______ vertices it has __…
This plane shape is a quadrilateral. It has 4 sides and 4 vertices.
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18. in the diagram, △mtd≅△slg. which statement is true? (overline{lg}co…
$\overline{LG}\cong\overline{TD}$
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15. name the relationship between <a and <b (select 2) a) supplementary…
b) complementary, c) adjacent
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14. given: ∠d≅∠t, ∠e≅∠u, eo≅ux name the postulate or theorem you can us…
D. AAS Theorem
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13. describes two lines, segments, or rays that form right angles with …
13. a) perpendicular 14. d) bisector
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11. supplementary angles add up to how many degrees? ans. ________ 12. …
11. 180 12. c) 120
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9. complementary angles add up to how many degrees? ans. 10. a point th…
9. 90 10. B. midpoint
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7. two non - overlapping angles that share one ray are called ____. a) …
7. c) adjacent angles 8. b) vertical angles
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this plane shape is a it has 5 sides and 5 vertices
pentagon
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5. a ___ is a portion of a line that has a starting point and extends f…
5. a) ray 6. b) False
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13. from the diagram, what can you conclude about △cad? it is an equian…
It is an isosceles triangle.
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4 numeric 1 point m∠2 = answer
# Explicación: ## Paso 1: Identificar triángulo isósceles El triángulo tiene dos lados iguales (señales de igualdad en los lados), entonces es isósceles. En un triángulo isósceles…
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from unit 1, lesson 3 line segment cd in the following diagram is the p…
4. No. Just because $CD$ is the perpendicular bisector of $AB$ does not imply that $AB$ is the perpendicular bisector of $CD$. 5. a. No. A straightedge can only draw straight line…
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12 in the figure, $\triangle ghfcong\triangle ehd$. which statement is …
$\angle HDE\cong\angle HFG$
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3 numeric 1 point find y. answer
# Explicación: ## Paso 1: Identificar el triángulo isósceles El triángulo KLM es isósceles, lo que significa que los ángulos opuestos a los lados iguales son iguales. Entonces, el…
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11. if bcde is congruent to opqr, then (overline{be}) is congruent to _…
A. \(\overline{QR}\)
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try it! 2. find the value of x and the measure of each labeled angle. a…
$x = 25$, and the measure of each labeled angle is $105^{\circ}$
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10. these two polygons are congruent. $overline{wz}$ corresponds to ___…
A. $\overline{AB}$
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11 numeric 1 point x=
# Explicación: ## Paso 1: Recordar la suma de ángulos en un triángulo La suma de los ángulos internos de un triángulo es 180°. Dado que este triángulo tiene un ángulo de 48° y los…
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9. can you use the sss postulate or the sas postulate to prove △abc and…
D. both apply
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10 numeric 1 point x = answer
# Explicación: ## Paso 1: Identificar el triángulo Es un triángulo equilátero, ya que tiene los tres lados iguales (se indican con las rayas rojas). ## Paso 2: Recordar las propie…
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8. in this figure, $\triangle baecong\triangle dea$. which statement is…
$\overline{BE}\cong\overline{AD}$
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7. suppose $overline{td}congoverline{sg}$ and $overline{md}congoverline…
A. $\angle D\cong\angle G$
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8 numeric 1 point x 42° x = answer
# Explicación: ## Paso1: Recordar la suma de ángulos en un triángulo La suma de los ángulos internos de un triángulo es 180°. ## Paso2: Identificar los ángulos dados Tenemos un án…
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1. write a two - column proof. given: $overrightarrow{bd}$ bisects $ang…
The proof is completed as above to show $\angle ABD\cong\angle FBD$.
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5. what additional information is needed to prove △tux≅△deo by hl? ∠x≅∠…
$\overline{OE}\cong\overline{UX}$
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6 numeric 0.5 points m∠2 = answer
# Explicación: ## Paso 1: Identificar el triángulo Es un triángulo equilátero (tres lados iguales, marcados con rayas rojas), por lo que sus ángulos internos son iguales. ## Paso …
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in the figure, m∠1 = m∠2 = 22 and m∠3 = m∠4 = 123. find m∠tsk.
$35$
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identify the angle or side that is common to △sut and △svt. ∠v ∠s (over…
$\overline{ST}$
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numeric 0.5 points m∠2 = answer
# Explicación: ## Paso1: Recordar la suma de ángulos internos de un triángulo La suma de los ángulos internos de un triángulo es 180°. ## Paso2: Identificar los ángulos conocidos …
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in the diagram, ab and ec are perpendicular. if m∠heb=(9x)° and m∠ceh=(…
$x = 4$; $m\angle HEB=36$
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numeric 1 point m∠2 = answer
# Explicación: ## Paso1: Identificar triángulo isósceles El triángulo tiene dos lados iguales (señalados con barras rojas), entonces es isósceles. En un triángulo isósceles, los á…
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2 given: $overline{ps}congoverline{pt},angle prscongangle prt$ prove: $…
$\angle PRS$ and $\angle PRT$ are congruent supplementary angles.
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1. given: ∠v = ∠y, wz bisects ∠vwy. name the postulate or theorem you c…
C. AAS Theorem
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select all the angles for which $overrightarrow{ha}$ and $overrightarro…
$\angle 6$, $\angle 8$
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2 fill in the blank 1 point a 73° c b m∠b = type your answer... m∠c = t…
# Explicación: ## Paso 1: Identificar el triángulo isósceles Como los lados $AC$ y $BC$ están marcados como iguales (tienen la misma barra), el triángulo $ABC$ es isósceles. En un…
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quilting a quilter is planning out a quilt using the coordinate plane b…
$(3,-7)$
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lesson 2 - roots a bulletin board consists of four equal - sized cork s…
12 feet
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m is in the interior of ∠abc. if m∠abc = 150° and m∠mbc = 18°, what is …
$132^{\circ}$
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abcd is a square. given that the measure of ∠edc = 62°, which expressio…
$90 - 62$
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adjective practice read the passage below. as you read, circle the comp…
Comparative adjectives: older, closer, farther, more - recent, taller Superlative adjectives: tallest, lowest, most unusual, largest Other adjectives: breathtaking, jagged, stunni…
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lmnp is a rectangle. given that the measure of ∠pql = 50°, which expres…
90 - 50
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identify the name of the angle pair based on the description provided b…
same - side interior
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if m∠wxz = 65° and m∠zxy = 24°, what is the m∠wxy?
$89^{\circ}$
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determine whether each statement about the solid is true or false. stat…
Statement 1: True Statement 2: True Statement 3: True Statement 4: False Statement 5: False
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find the measure of ∠fbh. 2m + 34 7m - 7
\(48^{\circ}\)
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problem 3 omari and eva each made a design using four triangles. select…
None of the statements can be selected as we lack information about Omari's design.
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if m∠wxz = 60° and m∠zxy = 82°, what is the m∠wxy?
$142^{\circ}$
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jl bisects ∠ljk. if m∠jlk = (-6x + 16)° and m∠ljk=(44 - 6x)°, find the …
\(x=-2\) \(m\angle IJK = 56^{\circ}\)
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abcd is a square. given that the measure of ∠edc = 70°, which expressio…
\(90 - 70\)
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spelling and wordplay word maze find and circle each target word in thi…
The words need to be found and circled in the maze. For example, "modify" is already circled as a demonstration. The other words like "abode", "alter", etc. should be located and …
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if m∠vwy = 51° and m∠vwx = 81°, what is the m∠ywx?
$30^{\circ}$
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find the measure of ∠bgr.
$42^{\circ}$
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figure 1 and figure 2 below are congruent. which angle corresponds to a…
Angle \(M\)
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lesson 4 practice problems 9 problems 1 this diagram is a straightedge …
1. Since \(AC = AB\) (radii of circle \(A\)) and \(BC = AB\) (radii of circle \(B\)), \(AC=AB = BC\), so \(\triangle ABC\) is equilateral. 2. 5 3. A. \(AC = BC\), B. \(AC = BD\)
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solve for x and graph the solution on the number line below. 10x≥80 ans…
Inequality Notation: $x\geq8$ For the number - line: Draw a closed circle at 8 (because the inequality includes equality, i.e., $x$ can be 8) and draw an arrow to the right to rep…
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which of these sequences of transformations will always return a figure…
Reflect over line \(m\), then reflect over line \(m\) again.
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(a) use the names of the sets to label the regions of the venn diagram.…
(a) Outermost region: Non - rational numbers; Largest circle: Rational numbers; Middle - sized circle: Integers; Smallest circle: Whole numbers (b) There are whole numbers that ar…
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given ∠abc and ∠def are supplementary and ∠abc and ∠ghj are supplementa…
D. \(m\angle DEF = m\angle GHJ\)
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solve for x and graph the solution on the number line below. -5x ≤ -20 …
Inequality Notation: $x\geq4$ Number Line: Plot a closed - circle at 4 (because the inequality includes equality, $\geq$) and draw a line to the right of 4.
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the point (3, -2) is shown on the graph. what are the coordinates of th…
B. $(-3,-2)$
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solve for x and graph the solution on the number line below. 6x > 60 an…
Inequality Notation: $x>10$ Number Line: An open - circle at 10 and a line extending to the right.
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m∠2 + m∠4 = 180 ∠2 ≅ ∠3 ∠2 ≅ ∠4 m∠3 = m∠4 the statement ∠2 ≅ ∠3 is the …
The statement $\angle2\cong\angle3$ is always true. The statement $\angle2\cong\angle4$ is sometimes true. The statement $m\angle3 = m\angle4$ is never true.
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m∠1 + m∠2 + m∠3 = 180 m∠2 + m∠4 = 180 ∠2 ≅ ∠3 ∠2 ≅ ∠4 m∠3 = m∠4 the sta…
The statement $m\angle2 + m\angle4$ is sometimes true. The statement $\angle2\cong\angle3$ is sometimes true. The statement $\angle2\cong\angle4$ is always true.
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transformations in tessellations. lets examine the pattern from the mos…
Reflection can be observed. For example, a vertical line between two adjacent hexagonal - like shapes shows that the elements on either side are mirror images of each other.
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figure 1 and figure 2 below are congruent. which side corresponds to si…
\(\overline{VW}\)
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△abc and △pqr are similar. find the missing side length. (the triangles…
8
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after a careful and thorough reading of chapter 7, you may recall ralph…
There is not enough context provided to determine the correct answer among the options a, b, c, d, e.
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figure 1 and figure 2 below are congruent. which side corresponds to si…
$\overline{GE}$
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jamarion bruce q1 - accelerated mathematics gr 8 | quiz 3 14. when a fi…
b. It doubles in size
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13. which transformation results in a figure that is a mirror image of …
b. Reflection
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12. when a rectangle measuring 5 inches by 8 inches is enlarged to 20 i…
A. 4
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11. which transformation flips a figure over a line? a. dilation b. ref…
B. Reflection
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10. a photo measures 3 inches by 5 inches and needs to be enlarged to 9…
d. 3
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9. which transformation does not preserve the size of a figure? a. tran…
b. Dilation
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#4 i listen name the property that ∠f≅∠f the statement illustrates the …
Reflexive
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consider the two rectangles shown. what transformation maps rectangle q…
translation
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7. what is the result of reflecting a rectangle over the x - axis and t…
c. The size decreases, and the figure is flipped upside down.
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triangle abc is transformed to create triangle mnl. which statement is …
The transformation is rigid because corresponding side lengths and angles are congruent.
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triangle xyz is transformed to create triangle xyz. the side lengths of…
Yes, the pre - image and image have the same side length measures.
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6. when an item with dimensions of 8 inches by 12 inches is reduced to …
c. $\frac{1}{10}$
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△ efg has coordinates e(-2, -4), f(-8, 0), and g(-5, 3). what are the c…
C) $E'(-2,4),F'(-8,0),G'(-5,-3)$
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triangle 1 undergoes four different transformations. the results of the…
Triangle 1 is dilated to result in triangle 3.
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circle all the equivalent ratios in each set. 1:3 2:6 2:3 12:3 2:8 4:1 …
In the first set: Circle \(1:3\) and \(2:6\). In the second set: Circle \(12:3\) and \(4:1\). In the third set: Circle \(4:5\) and \(8:10\). In the fourth set: Circle \(15:5\), \(…
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a transformation of rectangle abcd results in rectangle abcd. which tra…
dilation
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5. what transformation moves a figure without changing its shape or siz…
A. Translation
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4. what is the ratio called that determines how much a figure is enlarg…
c. Scale factor
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identify the sequence of transformations that will carry $\triangle abc…
$(x,y)\to(x + 4,-y)$