GH Act 6 Review

m<GHF=m<JFH

Given that <GHF is congruent to <JFH, write a statement that can be justified using the definition of congruent angles.

Segment FK is congruent to segment KJ

Given the K is the midpoint of segment FJ, write a statement that can be justified by using the definition of midpoint.

Vertical angles are congruent.

Identify the property, postulate, or theorem that justifies the statement. <3 is congruent to <4

Definition of complementary angles: If two angles are complementary, then the sum of the 2 angles is 90.

Identify the property, postulate, or theorem that justifies the statement. If <1 is complementary to <2, then m<1 + m<2 = 90.

Definition of midpoint: If a point is a midpoint of a segment, then it divides the segment into 2 congruent segments.

Identify the property, postulate, or theorem that justifies the statement. If Q is the midpoint of segment PR, then segment PQ is congruent to segment QR.

Segment Addition Postulate

Identify the property, postulate, or theorem that justifies the statement. PQ + QR = PR

e, b, c, a, d

Put the statements and reasons in logical order to complete the proof.

given

What is the blank for 1?

angle bisector

What is the blank for 2?

Given

What is the blank for 3.

right angle

What is the blank for 4 reason?

90

What is the blank for 4 statement?

Angle addition

What is the blank for 5?

Substitution

What is the blank for 6?

45

What is the blank for 8 reason?

Division Property of Equality

What is the blank for 8 statement?

defintion of perpendicular lines

What justifies the statement? If ∠LOW is a right angle, then LO⊥OW.

Angle Addition Postulate

What justifies the statement? Given C is in the interior of ∠AOD. 𝑚∠𝐴𝑂𝐷=𝑚∠𝐴𝑂𝐶+𝑚∠𝐶𝑂𝐷

FK + KJ = FJ

Write a statement that from the diagram that can be justified using the Segment addition postulate.