Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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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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9 numeric 1 point x = answer
# Explicación: ## Paso 1: Aplicar la desigualdad triangular La desigualdad triangular establece que para un triángulo con lados \(a\), \(b\) y \(c\), \(|a - b|\lt c\lt a + b\). Aq…
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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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7 numeric 1 point x = answer
# Explicación: ## Paso 1: Identificar triángulo isósceles El triángulo tiene dos lados iguales (señalados con barras rojas), entonces es isósceles. En un triángulo isósceles, los …
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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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numeric 1 point find y. answer
# Explicación: ## Paso 1: Identificar el triángulo El triángulo KLM parece ser isósceles, donde los lados KL y KM son iguales (señalados con barras rojas). Entonces, los ángulos o…
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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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find the measure of the missing angle.
$38^{\circ}$
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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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identify the name of the angle pair based on the description provided b…
C. adjacent
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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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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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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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(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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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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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∠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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figure 1 and figure 2 below are congruent. which point corresponds to p…
Q
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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…
$(x,y)\to(x + 4,-y)$
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relationships continued > use the angle relationships shown in each dia…
12. $3x$, $45$ 13. $112$, $25$ 14. $5x + 98$, $-6.2$ 15. The term is vertical angles. They are congruent. $x = 4$
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3. what happens to a figure when it is reflected over the y - axis? a. …
A. It creates a mirror image
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which transformations are nonrigid transformations? select two options.…
A. dilation D. stretch
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2. if a hexagon with side - lengths of 3 cm is dilated by a scale facto…
B. 12 cm
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identify a sequence of rigid transformations that would map abcd→a\b\c\…
$(x,y)\to(-x,y - 4)$
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1. if a triangle with sides 3 cm, 4 cm, and 5 cm is dilated by a scale …
d. 6 cm, 8 cm, 10 cm
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compositions of transformations quick check use the image to answer the…
A. △ABC was rotated 180° (clockwise or counter - clockwise), then shifted 2 units to the right and 2 units up
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what is the slope of this line? simplify your answer and write it as a …
$\frac{1}{2}$
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what two rigid - transformations were performed on figure abcd to produ…
ABCD was first rotated \(90^{\circ}\) counter - clockwise about the origin, then translated 3 units to the left and 15 units up.
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describing supplementary angle relationships continued 7 (7x - 21)° (9x…
Problem 7: $x = 12.5$ Problem 8: $x = 15$ Problem 9: $x = 4$ Problem 10: $x = 5$
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∠2≅∠3 m∠1 + m∠2 = 90° m∠2 = m∠3 m∠1 + m∠3 = 90° ∠1 is a complement of ∠…
The reason for $m\angle1 + m\angle2 = 90^{\circ}$ is Given. The reason for $\angle1$ is a complement of $\angle3$ is Definition of complementary angles.
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∠1 is a complement of ∠2. ∠2≅∠3 m∠1 + m∠2 = 90° m∠2 = m∠3 definition of…
$\angle1$ is a complement of $\angle3$ because $m\angle1 + m\angle3 = 90^{\circ}$ which is derived from the given $\angle1$ is a complement of $\angle2$ ($m\angle1 + m\angle2=90^{…
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for each pair of figures below, choose how they are related.
1. Translation 2. Reflection 3. Rotation 4. Rotation
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in a dilation, the angles of the figure remain in map making, dilations…
1. unchanged 2. scale down 3. scale 4. enlarge
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what is the slope of this line? (0, 3) (5, 3) simplify your answer and …
$0$
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what is the slope of this line? (-4, 0) (0, -3) simplify your answer an…
$-\frac{3}{4}$
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pq = rs pq + qr = rs + qr segment addition postulate (post. 1.2) rs + q…
1. Given: $PQ = RS$ 2. Addition Property of Equality: $PQ+QR = RS + QR$ 3. Segment Addition Postulate: $PQ + QR=PR$ 4. Segment Addition Postulate: $RS + QR = QS$ 5. Substitution P…
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what is the slope of this line? (4, 12) (-4, -20)
4
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what two rigid transformations were performed on figure abcd to produce…
A translation 6 units to the right and 12 units up.
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4. calculate the area of the lawn covered by an oscillating sprinkler t…
$50\pi$ square feet
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what is the slope of this line? (0, 6) (6, -30) simplify your answer an…
$-6$