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Common Core Standard HSG-SRT.A.2 Questions

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

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Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2

Are these two triangles similar?
Triangle ABC:

$ang A=28°, ang B=91°$
Triangle DEF:

$ang D=28°, ang E=61°$

Yes, the triangles are similar.
No, the triangles are not similar.

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2

Triangle 1: A = 32, B = 87
Triangle 2: A = 68, B = 32
These 2 triangles are similar.

True
False

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2

Matt is flying a kite and measures the angle of his string to the ground as 30 degrees. Samantha is also flying a kite using a string which is 150 feet long. Her kite is at an altitude of 75 feet. Are the two triangles formed by Matt's and Samantha's kite strings to the ground similar? Show your work.

Right Triangle ABC v3

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2

Chad is using a ladder that is 10 feet long while Sam is using a ladder 15 feet long. Chad's ladder reaches 7 feet up the wall and Sam's ladder reaches 10 feet up the wall. Do both ladders form similar triangles with the wall and ground?
Show your work.

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