Question

Check my answers please?(:

Answer 1

Kelly's Proof

Statement Justification
∠ 2 = ∠ 4 Vertical angles are congruent.
∠ 1 = ∠ 3 Vertical angles are congruent.
Vertical Angles are congruent. Vertical Angle Theorem
Daniel's Proof

Statement Justification
∠ 1 + ∠ 2 = 180° Definition of Supplementary Angles
∠ 1 + ∠ 4 = 180° Definition of Supplementary Angles
∠ 1 + ∠ 2 = ∠ 1 + ∠ 4 Transitive Property of Equality
∠ 2 = ∠ 4 Subtraction Property of Equality
Choose one answer.
a. Both Kelly and Daniel are correct. (I think it's this one)
b. Neither Kelly or Daniel is correct.
c. Kelly is correct, but Daniel is not.
d. Daniel is correct, but Kelly is not.

Answer 2

According to the given information, is parallel to while angles SQU and VQT are vertical angles. ________________ by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Postulate. Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality.

Which phrase accurately completes the proof? (5 points)

Choose one answer.
a. ∠ SQU ≅ ∠ VQT (I think it's this one)
b. ∠ SQU ≅ ∠ WRS
c. ∠ WRS ≅ ∠ VQT
d. ∠ WRS ≅ ∠ ZRT

Answer 3

What is the error in this flowchart? (5 points)

Choose one answer.
a. JL and KL are equal in length according to the definition of a midpoint.
b. An arrow is missing between ∠ LNK = 90° and ∠ LNJ = 90° and ∠ LNK ≅ ∠ LNJ. (I think it's this one)
c. An arrow is missing between the given statement and ∠ LNK ≅ ∠ LNJ.
d. Triangles JNL and KNL are congruent by the Angle-Angle Side (AAS) Theorem.

Answer 4

When written in the correct order, the two-column proof below describes the statements and reasons for proving that corresponding angles are congruent.


Statements Reasons
0301_g4.gif Given
Points S, Q, R, and T all lie on the same line. Given
I m∠ SQT = 180° Definition of a Straight Angle
II m∠ SQV + m∠ VQT = 180° Substitution Property of Equality
III m∠ SQV + m∠ VQT = m∠ SQT Angle Addition Postulate
m∠ VQT + m∠ ZRS = 180° Same-Side Interior Angles Theorem
m∠ SQV + m∠ VQT = m∠ VQT + m∠ ZRS Substitution Property of Equality
m∠ SQV + m∠ VQT - m∠ VQT = m∠ VQT + m∠ ZRS - m∠ VQT
m∠ SQV = m∠ ZRS Subtraction Property of Equality
∠ SQV ≅ ∠ ZRS Definition of Congruency
Which is the most logical order of statements and reasons I, II, and III to complete the proof? (5 points)

Choose one answer.
a. I, III, II (I think it's this one)
b. II, I, III
c. II, III, I
d. III, I, II