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Math
Geometry
Understanding Proofs and Constructions Unit Test 96%
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Terms in this set (25)
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.
In the diagram, what is the measure of WRS?
25°
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.
A flowchart proof
uses a visual representation of the logical flow of steps needed to reach a conclusion.
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.
In the diagram, what is mVSR?
mVSR = 80°
The last step in a proof contains the
conclusion
Angle RST is a right angle. Angle RSU has a measure of 25°.
What is the measure of angle TSU?
65°
Given: mTRV = 60°
mTRS = (4x)°
Prove: x = 30
What is the missing reason in step 3?
angle addition postulate
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.
In which diagram do angles 1 and 2 form a linear pair?
D
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
In which diagram are angles 1 and 2 vertical angles?
A
In the diagram, which angles are vertical angles? Check all that apply.
ABE and CBD
ABC and EBD
Which statement is true about the diagram?
K is the midpoint of AB.
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Verified questions
GEOMETRY
Statement: If ∠A ≅ ∠B and ∠A is supplementary to ∠C, then ∠B is supplementary to ∠C. Dia is proving the statement above by contradiction. She began by assuming that ∠B is not supplementary to ∠C. Which of the following definitions will Dia use to reach a contradiction? A definition of congruence B definition of a linear pair C definition of a right angle D definition of supplementary angles
GEOMETRY
Woottonville currently has a population of 1532 people and is growing at a rate of approximately 15 people per year. Nearby, Coynertown has a population of 2740 people but is decreasing at a rate of approximately 32 people per year. In how many years will the towns have the same population?
GEOMETRY
Write the correct answer. A piece of glass is in the shape of an isosceles triangle . The congruent sides measure 10 inches , and the base angles measure 40 °. To the nearest tenth of a square inch, what is the area of the piece of glass?
GEOMETRY
The discrete random variable X has the probability distribution P(X = x) = ln kx for x = 1, 2, 3, 4 . Find the exact value of k.
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