AnswersFL-1206320-Geometry Honors Sem 1 - FlexCumulative Exam

Cumulative Exam — Cumulative exam Answers

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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.
22
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Horizontal and parallel lines M Q and U R are intersected by 2 diagonal lines N S and P T to form triangle E G F. Line N S intersects line M Q at point E and intersects line U R at point F. Line P T intersects line M Q at point E and intersects line U R at point G.

Question illustration
A
∠MEG
B
∠NEG
C
∠PEQ
D
∠RFS
23

Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inches, the length of N K is (x + 2) inches, the length of L O is (x minus 4) inches, and the length of O J is x inches.

Question illustration
A
1
B
6
C
8
D
10
24

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
25

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.
26

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
27

Triangle ABC was reflected over line m, then dilated by a scale factor between 0 and 1. Which diagram illustrates these transformations?

A
Triangle A B C is reflected across line m and then is dilated to form smaller triangle A double-prime B double-prime C double-prime
Option A
B
Triangle A B C is rotated about line m and then dilated to form smaller triangle A double-prime B double-prime C double-prime
Option B
C
Triangle A B C is reflected across line m and then is dilated to form larger triangle A double-prime B double-prime C double-prime
Option C
D
Triangle A B C is rotated about line m and then dilated to form larger triangle A double-prime B double-prime C double-prime
Option D
28

Which quadrilateral will always have 4-fold reflectional symmetry?

A
trapezoid
B
rhombus
C
square
D
rectangle
29

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

A
circle
B
line segment
C
perpendicular lines
D
ray
30

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
31

congruencesymmetricreflexivetransitive

A
congruence
B
symmetric
C
reflexive
D
transitive
32

Given that D is the midpoint of AB and B is the midpoint of AC, which statement must be true?

Question illustration
A
AD = AC
Option A
B
AC = 4DB
C
AB + DC = AC
D
BK = KC
33

Point S lies between points R and T on .

Question illustration
A
2 centimeters
B
4 centimeters
C
6 centimeters
D
8 centimeters
34

Rectangle ABCD was dilated to create rectangle A'B'C'D.

Question illustration
A
6 units
B
7.6 units
C
9.5 units
D
12 units
35

A line contains the following points left to right: R, T, U, S. The space between R and T is 12 units. The space between R and S is 24 units.

Question illustration
A
SU + UT = RT
B
RT + TU = RS
C
RS + SU = RU
D
TU + US = RS
36

On a coordinate plane, 2 triangles are shown. Triangle L M N has points (negative 1, 3), (3, 1), and (negative 1, 1). Triangle L prime M prime N prime has points (negative 2, negative 1), (6, negative 5), and (negative 2, negative 5).

Question illustration
A
a dilation with a scale factor less than 1 and then a reflection
B
a dilation with a scale factor less than 1 and then a translation
C
a dilation with a scale factor greater than 1 and then a reflection
D
a dilation with a scale factor greater than 1 and then a translation
37

Consider the triangle.

Question illustration
A
Each side has a different length.
B
Two sides have the same length, which is less than the length of the third side.
C
The three sides have the same length.
D
The sum of the lengths of two sides is equal to the length of the third side.
38

Four points partition the directed line segment from A to B.• Point P partitions the directed line segment from A to B into a 3:4 ratio. • Point Q partitions the directed line segment from A to B into a 4:3 ratio. • Point R partitions the directed line segment from A to B into a 2:5 ratio. • Point S partitions the directed line segment from A to B into a 5:2 ratio.

Question illustration
A
P
B
Q
C
R
D
S
39

Pentagon ABCDE is dilated according to the ruleDO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph.

Question illustration
A
(-1, 1)
B
(-1, 2)
C
(-9, 6)
D
(-9, 18)
40

On a coordinate plane, a square has points A (negative 5, 2), B (1, 2), C (negative 4, 1), and D (negative 5, negative 4).

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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