Understanding Proofs And Constructions Unit Test 96%

7 September 2022
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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?
answer
Angles that are congruent are complementary to the same angle.
question
In the diagram, what is the measure of WRS?
answer
25°
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 ∠CEA, which statements must be true? Check all that apply.
answer
m∠CEA = 90° m∠BEF = 135° ∠CEF is a straight angle. ∠AEF is a right angle.
question
In the diagram, what is mVSR?
answer
mVSR = 80°
question
The last step in a proof contains the
answer
conclusion
question
Angle RST is a right angle. Angle RSU has a measure of 25°. What is the measure of angle TSU?
answer
65°
question
Given: mTRV = 60° mTRS = (4x)° 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: ∠ABC is a right angle, ∠DBC is a straight angle Prove: ∠ABC ≅ ∠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
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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
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Given that BA bisects ∠DBC, which statement must be true?
answer
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?
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
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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?
answer
vertical angles are congruent
question
Given that ∠CEA is a right angle and EB bisects ∠CEA, which statement must be true?
answer
m∠CEB = 45°
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.