Module 8 - Form A Module Test

Two swimmers are equidistant from a lifeguard standing at the edge of the pool. The angles from the lifeguard to each swimmer are shown in the diagram. Approximately how far apart are the swimmers?

• 4.5 ft

• 8.0 ft

• 9.0 ft

• 9.2 ft

Which set of dimensions can be used to prove ΔKLM ≅ ΔPQR using SAS congruence criteria?

• KL = PQ, MK = RP, and m∠LMK = m∠QRP

• KL = PQ, MK = RP, and m∠MKL = m∠RPQ

• LM = QR, MK = RP, and m∠KLM = m∠PQR

• LM = QR, MK = RP, and m∠MKL = m∠RPQ

In ΔABC and ΔDEF, AB = DE, BC = EF, and m∠A = m∠D. Can the triangles be proven to be congruent?

• Yes, using SAS congruence criteria.

• Yes, using SSA congruence criteria.

• No, because sides AC and DF are not congruent if angles B and E are not congruent.

• No, because sides AC and AB must be congruent and sides DF and DE must be congruent.

Triangles DEF and JKL have the dimensions shown. What are the measures of angles E and K?

• m∠E = 32° and m∠K = 32°

• m∠E = 32° and m∠LK cannot be determined

• m∠E = 64° and m∠K = 64°

• m∠E = 64° and m∠LK cannot be determined

∠FES ≅ ∠DCS by the Alternate Interior Angles Theorem.

True or False?

• True

• False

∠ESF ≅ ∠CSD by the Vertical Angles Theorem. True or False?

• True

• False

ES ≅ CS by the Reflexive Property. True or False?

• True

• False

What is the value of x?

• x = 90

• x =27

• x =110

• x = 38

For what value of x are the triangles congruent?

• x = 34

• x = 65

• x = 2

• x = 90

If ΔLMN ≅ ΔPQR, what is the length of PR in units?

• 37 units

• 5 units

• 10 units

• 15 units