Z Warm Up W 12 7.5 U 5 V X Y 6 XYZ 6/5 or 1.2 10 9 100

Shadow Math Jeannie is practicing on the basketball goal outside her house. She thinks that the goal seems lower than the 10 ft. goal she plays on in the gym. She wonders how far the goal is from the ground. Jeannie can not reach the goal to measure the distance to the ground, but she remembers something from math class that may help. First, she needs to estimate the distance from the bottom of the goal post to the top of the backboard. To do this, Jeannie measures the length of the shadow cast by the goal post and backboard. She then stands a yardstick on the ground so that it is perpendicular to the ground, and measures the length of the shadow cast by the yardstick. Here are Jeannie’s measurements: Length of shadow cast by goal post and backboard: 5 ft. 9 in. (69 in.) Length of yardstick’s shadow: 1 ft. 6 in. (18 in.) If the goal is approximately 24 in. from the top of the backboard, how does the height of the basketball goal outside Jeannie’s house compare to the one in the gym? Justify your answer.

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Questions over hw?

3 Ways to Prove Triangles Similar

Angle-Angle (AA~) Similarity Postulate Being able to show that two angles in one triangle are congruent to two angles of the other triangle D A E F B C

Side-Side-Side (SSS~) Similarity THM Being able to show that the measures of all the corresponding sides of the triangles are proportional. D A E F B C

Side-Angle-Side (SAS~) Similarity THM Being able to show that the measure of two pair of corresponding sides are proportional AND the included angles are congruent D A F E B C

Ex. Determine whether the triangles are similar Ex. Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement. Yes, AA~ 68° 43° 68° 43° V NO Y 7 3 5 Z X W 11 U

SAS~ 12 4 5 15 Prove that RST ~ PSQ 1. Two sides are proportional 2. Included angle is congruent SAS~ R S T P Q 12 4 5 15

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