AnswersMFISD GEOMETRY A 22-23 CRCumulative Exam

Cumulative Exam — Cumulative exam Answers

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1
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Point Z is equidistant from the sides of ΔRST.

Question illustration
A
Line segment S Z is-congruent-to line segment T Z
Option A
B
Line segment R Z is-congruent-to line segment B Z
Option B
C
CTZ ASZ
Option C
D
ASZ ZSB
Option D
2
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Point O is the incenter of ΔABC.

Question illustration
A
5°
B
9°
C
12°
D
24°
3

Horizontal and parallel lines c and d are cut by transversal p. At the intersection of lines c and p, the uppercase left angle is angle 1 and the uppercase right angle is angle 2. At the intersection of lines d and p, the uppercase right angle is angle 3 and the bottom left angle is angle 4.

Question illustration
A
m∠1 = 81° and m∠2 = 99°
B
m∠3 = 99° and m∠4 = 99°
C
m∠2 = 99° and m∠4 = 99°
D
m∠4 = 81° and m∠1 = 81°
4

The proof that ΔABC ≅ ΔCDA is shown.Given: ∥ and ∥ Prove: ΔABC ≅ ΔCDA

Question illustration
A
perpendicular bisector theorem
B
Pythagorean theorem
C
HL theorem
D
SSS congruence theorem
5

Triangles A B C and E F D are shown. The lengths of sides A B and E D are congruent. Angles C A B and E D F are 33 degrees. Angle A C B is 88 degrees and angle D E F is 58 degrees.

Question illustration
A
Yes, A ≅ D and AB ≅ DE.
Option A
B
Yes, they are congruent by either AAS or ASA.
C
No, C is not congruent to any angle in DEF.
Option C
D
No, the congruent sides do not correspond.
6

Let p: It is rainingLet q: Robert is laughing.Assume p is true. Select two statements that must logically be true.p ∨ qp ∧ qq → pp → qq ↔ p

A
p ∨ q
B
p ∧ q
C
q → p
D
p → q
E
q ↔ p
7

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.

Question illustration
A
4 ft
B
4.8 ft
C
6 ft
D
7.2 ft
8

Triangles K L P and Q M N are shown. Triangle Q M N is slightly higher than triangle K L P and side Q M connects to side K P. Point M is at the midpoint of K P. Sides K L and Q N are congruent. Angles K L P and Q N M are congruent. Angles K P L and Q M N are both right angles.

Question illustration
A
No, KLP and QNM are congruent but KLP cannot be mapped to QNM using a series rigid transformations.
Option A
B
No, KLP and QNM are not congruent.
Option B
C
Yes, KLP can be reflected across the line containing KP and then translated so that P is mapped to M.
Option C
D
Yes, KLP can be rotated about P and then translated so that L is mapped to N.
Option D
9

Which distance measures 5 units?

Question illustration
A
the distance between points W and X
B
the distance between points X and Y
C
the distance between points X and Z
D
the distance between points Y and Z
10

Triangle A C F is shown. Lines are drawn from each point to the opposite side and intersect at point D. Line segments A E, F B, and C G are formed. The length of line segment A D is 12 and the length of line segment D E is 4.

Question illustration
A
Yes, point D is the point of intersection of segments drawn from all three vertices.
B
Yes, DE is three-quarters of the length of the full segment.
C
No, DE should be longer than AD.
D
No, the ratio between AD and DE is 3:1.
11

Planes A and B intersect.

Question illustration
A
line CD
B
line ED
C
point C
D
point D
12

On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8).

Question illustration
A
(10, –2)
B
(–10, 2)
C
(–2, –10)
D
(2, 10)
13

Figure RHOM is a rhombus. and are the diagonals of the rhombus, as well as angle bisectors of the vertex angles, and they create four isosceles triangles: HOM, MHR, RHO, and OMR.

Question illustration
A
It must be acute.
B
It must be a right angle.
C
It must be equal to MRH.
Option C
D
It must be equal to RMS.
Option D
14

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has verticesR'(0, –2), S'(0, –4), and T'(–3, –1). Which rule describes the transformation?

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
15

A right angle intersects a line at point M.

Question illustration
A
They are congruent.
B
They are right angles.
C
They are complementary.
D
They are supplementary.
16

Complete the paragraph proof.Given: M is the midpoint of Prove: ΔPKB is isosceles

Question illustration
A
corresponding parts of congruent triangles are congruent
B
base angles of isosceles triangles are congruent
C
of the definition of congruent segments
D
of the definition of a right triangle
17

Two parallel lines are crossed by a transversal.

Question illustration
A
61.8°
B
81.8°
C
118.2°
D
128.2°
18

The diagram represents three statements about teachers: p, q, and r.

Question illustration
A
2
B
4
C
5
D
9
19

Triangles R S T and X Y T are congruent. Triangle R S T is reflected across a line and then rotated at point T to form triangle X Y T.

Question illustration
A
No, ΔRST and ΔXYT are congruent but ΔRST cannot be mapped to ΔXYT using a series rigid transformations.
B
No, ΔRST and ΔXYT are not congruent.
C
Yes, ΔRST can be reflected across the line containing RT and then rotated about T so that S is mapped to Y.
D
Yes, ΔRST can be translated so that S is mapped to Y and then rotated about S so that R is mapped to X.
20

Triangle DEF is an isosceles, so DEF DFE.

Question illustration
A
105°
B
125°
C
150°
D
165°

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