AnswersFL-1206310-GeometryCumulative Exam

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1
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Which is precisely defined using the undefined terms point and plane?

A
circle
B
line segment
C
perpendicular lines
D
ray
2
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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.
3

Which best explains why the orthocenter of an obtuse triangle is outside the triangle?

A
All three of the altitudes lie entirely outside the triangle.
B
Two of the altitudes lie entirely outside the triangle.
C
All three of the medians lie entirely outside the triangle.
D
Two of the medians lie entirely outside the triangle.
4

Given: a ∥ b and ∠1 ≅ ∠3Prove: e ∥ fWe know that angle 1 is congruent to angle 3 and that line a is parallel to line b because they are given. We see that __________ by the alternate exterior angles theorem. Therefore, angle 2 is congruent to angle 3 by the transitive property. So, we can conclude that lines e and f are parallel by the converse alternate exterior angles theorem.Which information is missing in the paragraph proof?

Question illustration
A
∠2 ≅ ∠4
B
∠1 ≅ ∠2
C
∠2 ≅ ∠3
D
∠1 ≅ ∠4
5

Triangle DEF is an isosceles, so DEF DFE.

Question illustration
A
105°
B
125°
C
150°
D
165°
6

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
7

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)
8

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

Question illustration
A
On a coordinate plane, a triangle has points X (2, negative 2), Y (6, 0), Z (1, 1).
Option A
B
On a coordinate plane, a triangle has points X (2, 2), Y (6, 0), and Z (1, negative 1).
Option B
C
On a coordinate plane, a triangle has points X (negative 2, negative 2), Y (6, 0), Z (negative 1, 1).
Option C
D
On a coordinate plane, a triangle has points X (negative 2, 2), Y (negative 6, 0), Z (negative 1, negative 1).
Option D
9

Assume lines c and d are parallel and 2 measures 98°. Which statements are true? Select three options.

Question illustration
A
m3 = m6 = 98°
Option A
B
m3 = m14 = 98°
Option B
C
m4 = m8 = 82°
Option C
D
m4 = m12 = 82°
Option D
E
m5 = m8 = 82°
Option E
10

On a coordinate plane, a line goes through (negative 3, 2) and (2, negative 1). A point is at (3, 0).

Question illustration
A
3x + 5y = −9
B
3x + 5y = 9
C
5x − 3y = −15
D
5x − 3y = 15
11

Two parallel lines are crossed by a transversal.

Question illustration
A
61.8°
B
81.8°
C
118.2°
D
128.2°
12

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.
13

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
14

If the statement is rewritten as a conditional statement in if-then form, which best describes the hypothesis?A regularly priced item at a store receives a 20% discount.

A
an item has a regular price at a store
B
an item receives a 20% discount
C
a regularly priced item receives a discount
D
a discount is received
15

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°
16

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

A
a reflection of the line segment across the x-axis
B
a reflection of the line segment across the y-axis
C
a reflection of the line segment across the line y = x
D
a reflection of the line segment across the line y = –x
17

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.
18

Point O is the incenter of ΔABC.

Question illustration
A
5°
B
9°
C
12°
D
24°
19

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
20

Line ST and point V are shown on the graph.

Question illustration
A
−7
B
−5
C
2
D
3

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