question

Figure JKLM is a rectangle, so mKJM = mKLM = 90Â° and KJC MLC.
Which reason justifies the statement that KLC is complementary to KJC?

answer

Angles that are congruent are complementary to the same angle.

question

In the diagram, what is the measure of WRS?

answer

25Â°

question

Line JM intersects line GK at point N.
Which statements are true about the figure? Check all that apply.

answer

MNL is complementary to KNL.
Line JM intersects line GK at point N.
GNM is supplementary to JNK.

question

A flowchart proof

answer

uses a visual representation of the logical flow of steps needed to reach a conclusion.

question

Given that EB bisects â CEA, which statements must be true? Check all that apply.

answer

mâ CEA = 90Â°
mâ BEF = 135Â°
â CEF is a straight angle.
â AEF is a right angle.

question

In the diagram, what is mVSR?

answer

mVSR = 80Â°

question

The last step in a proof contains the

answer

conclusion

question

Angle RST is a right angle. Angle RSU has a measure of 25Â°.
What is the measure of angle TSU?

answer

65Â°

question

Given: mTRV = 60Â°
mTRS = (4x)Â°
Prove: x = 30
What is the missing reason in step 3?

answer

angle addition postulate

question

Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent.
Which statement is true about angles 3 and 5?

answer

They are supplementary.

question

In which diagram do angles 1 and 2 form a linear pair?

answer

D

question

What is the missing reason in the proof?
Given: â ABC is a right angle, â DBC is a straight angle
Prove: â ABC â
â ABD

answer

definition of congruent angles

question

In which diagram are angles 1 and 2 vertical angles?

answer

A

question

In the diagram, which angles are vertical angles? Check all that apply.

answer

ABE and CBD
ABC and EBD

question

Which statement is true about the diagram?

answer

K is the midpoint of AB.

question

Which pair of angles are vertical angles?

answer

WRS and VRT

question

Given that BA bisects â DBC, which statement must be true?

answer

mâ ABD = mâ ABC

question

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

answer

AK + BK = AC

question

Segment AB is congruent to segment AB.
This statement shows the ______ property.

answer

reflexive

question

Which angle is a vertical angle with EFD?

answer

AFB

question

A paragraph proof

answer

contains a table with a logical series of statements and reasons.

question

Given: mEDF = 120Â°; mADB = (3x)Â°; mBDC = (2x)Â°
Prove: x = 24
What is the missing reason in step 3?

answer

vertical angles are congruent

question

Given that â CEA is a right angle and EB bisects â CEA, which statement must be true?

answer

mâ CEB = 45Â°

question

Marcus states that angle ORP and angle LRP are a linear pair. Which best describes his statement?

answer

He is incorrect. Ray RO and ray RL are not opposite rays.

question

Triangle ABC is a right triangle.
What is the relationship between angles A and B?

answer

They are complementary.