Summer Proportions DOL

KN bisects ∠K. Calculate MN.

• 5 m

• 5.4 m

• 6.4 m

• 7.4 m

Is DE || AC? Justify your response.

Miles wrote the following proportion to solve for x. Do you agree with Miles' work? Justify your response.

A. Determine the value of x.

B. Find the length of NK

• x=1

  NK=2

• x=2

  NK=7

• x=3

  NK=16

• x=4

  NK=18

Triangle PQR is shown below. Line segment MN is drawn such as M is on the side PQ, N is on side PR, and MN is parallel to QR. Priya claims that MN partitions sides PQ and PR such that MQ/PM = NR/PN. Her proof is shown below. Some of the reasons are missing from the proof. Select the correct reasons from below that justify the given statements.

• Line Segment Addition Postulate

• Corresponding Angles are congruent

• A-A criterion for similar triangles

• Proportionality of corresponding sides in similar triangles