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This printable supports Common Core Mathematics Standard HSG-SRT.A.2

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## Similar Triangles

1.
A triangle with vertices A, B, and C has the following side length and angle measures: $AB = 10$, $m ang A = 34°$, and $m ang B = 55°$. A triangle with vertices P, Q, and R has the following side length and angle measures: $PQ = 15$, $m ang P = 34°$, and $m ang Q = 55°$. These two triangles must be similar.
1. True
2. False
2.
A triangle with vertices E, F, and G has the following angle measures: $m ang E = 85°$ and $m ang F = 19°$. A triangle with vertices J, K, and L has the following angle measures: $m ang J = 85°$ and $m ang K = 76°$. These two triangles must be similar.
1. True
2. False
3.
A triangle with vertices J, K, and L has the following side length and angle measure: $JK = 10$ and $m ang J = 49°$. A triangle with vertices P, Q, and R has the following side length and angle measure: $PQ = 5$ and $m ang P = 49°$. These two triangles must be similar.
1. True
2. False
4.
A triangle with vertices C, D, and E has the following side lengths: $CD = 25$, $DE = 30$, and $CE = 15$. A triangle with vertices W, X, and Y has the following side lengths: $WX = 5$, $XY = 3$, and $WY = 6$. These two triangles must be similar.
1. True
2. False
5.
A triangle with vertices D, E, and F has the following side lengths: $DE = EF = 5$. A triangle with vertices P, Q, and R has the following side lengths: $PQ = QR = 15$. These two triangles must be similar.
1. True
2. False
6.
If $Delta ABC \ ~ \ Delta A'B'C'$, $AB = 3$, $A'B' = 9$, and $BC = 5$, what is the value of $B'C' ?$
1. $11$
2. $15$
3. $5/3$
4. $25$
7.
In $Delta FGH$, $m ang G = 73°$ and $m ang F = 42°$. If $Delta F'G'H' \ ~ \ Delta FGH$, find $m ang H'$.
1. 65°
2. 42°
3. 73°
4. Not enough information.
8.
If $Delta TUV \ ~ \ Delta T'U'V'$ and $(TU)/(T'U') = 3/2$, determine the value of $(U'V')/(UV)$.
1. $9/4$
2. $3/2$
3. $2/3$
4. Not enough information.
9.
If $Delta LMN \ ~ \ Delta L'M'N',$ $LM = 3$, and $MN = 4$, what is the value of $L'N' ?$
1. 5
2. 4
3. 3
4. Not enough information.
10.
In $Delta QRS$, $m ang S = 105°$. In $Delta Q'R'S'$, where $Delta QRS \ ~ \ Delta Q'R'S'$, $m ang R' = 34°$. Determine $m ang Q$.
1. 71°
2. 34°
3. 41°
4. Not enough information        You need to be a HelpTeaching.com member to access free printables.