Topic 6.1–6.2 Quiz

The diagonals of an isosceles trapezoid are always

• both bisectors of each other

• parallel

• perpendicular

• congruent

In the figure, ABCD is a kite with diagonals AC and BD intersecting at E at a right angle. What is BD?

• 10

• 12

• 13

• 14

Given JKLM is a kite.

Given JK<JM and KL<LM

Complete the proof that ∠JMK is congruent to ∠LMK

KJ ≅ KL and MJ ≅ ML Reason?

• CPCTC

• Definition of a kite

• Definition of a quadrilateral

• Reflexive Property of Congruence

Choose the correct reason for the statement KM ≅ KM

• Reflexive Property of Congruence

• Definition of a kite

• CPCTC

• Perpendicular Bisector Theorem

Choose the triangle congruence postulate that justifies △KJM ≅ △KLM

• SAS

• ASA

• AAS

• SSS

Choose the correct reason that justifies ∠JMK ≅ ∠LMK

• CPCTC

• Angle Bisector Theorem

• Reflexive Property of Congruence

• Definition of a kite

In the kite shown, find m∠1 and m∠2

• m∠1=

• m∠2=

Use the parallelogram shown to find the measure of ∠D.

Given: Parallelogram ABCD

Given AB ∥ DC and AD ∥ BC

Prove: ∠A+∠B=180, ∠B+∠C=180, ∠C+∠D=180 and ∠A+∠D=180

AB is ______ parallel line segments AD and BC.

• perpendicular to

• parallel to

• a transversal of

Statement: ∠A and ∠B must be supplementary

Reason?

• Corresponding Angles Theorem

• Alternate Exterior Angles Theorem

• Vertical Angles Theorem

• Same-Side Interior Angles Postulate

• Alternate Interior Angles Theorem