# Understanding Proofs And Constructions Unit Test 96%

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question
Figure JKLM is a rectangle, so mKJM = mKLM = 90° and KJC MLC. Which reason justifies the statement that KLC is complementary to KJC?
Angles that are congruent are complementary to the same angle.
question
In the diagram, what is the measure of WRS?
25°
question
Line JM intersects line GK at point N. Which statements are true about the figure? Check all that apply.
MNL is complementary to KNL. Line JM intersects line GK at point N. GNM is supplementary to JNK.
question
A flowchart proof
uses a visual representation of the logical flow of steps needed to reach a conclusion.
question
Given that EB bisects ∠CEA, which statements must be true? Check all that apply.
m∠CEA = 90° m∠BEF = 135° ∠CEF is a straight angle. ∠AEF is a right angle.
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In the diagram, what is mVSR?
mVSR = 80°
question
The last step in a proof contains the
conclusion
question
Angle RST is a right angle. Angle RSU has a measure of 25°. What is the measure of angle TSU?
65°
question
Given: mTRV = 60° mTRS = (4x)° Prove: x = 30 What is the missing reason in step 3?
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?
They are supplementary.
question
In which diagram do angles 1 and 2 form a linear pair?
D
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What is the missing reason in the proof? Given: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABC ≅ ∠ABD
definition of congruent angles
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In which diagram are angles 1 and 2 vertical angles?
A
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In the diagram, which angles are vertical angles? Check all that apply.
ABE and CBD ABC and EBD
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Which statement is true about the diagram?
K is the midpoint of AB.
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Which pair of angles are vertical angles?
WRS and VRT
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Given that BA bisects ∠DBC, which statement must be true?
m∠ABD = m∠ABC
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Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true?
AK + BK = AC
question
Segment AB is congruent to segment AB. This statement shows the ______ property.
reflexive
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Which angle is a vertical angle with EFD?
AFB
question
A paragraph proof
contains a table with a logical series of statements and reasons.
question
Given: mEDF = 120°; mADB = (3x)°; mBDC = (2x)° Prove: x = 24 What is the missing reason in step 3?