Unit Review: Congruence & similarity

L.1Use the congruence statement to find each measure.

1. 1
   $△ABC\cong △ZXY$ and $CB=20$ in. Find $YX$.
2. 2
   $△ABC\cong △MNO$ and $CB=5$ cm. Find $ON$.
3. 3
   $△ABC\cong △YXZ$ and $CB=7$ ft. Find $ZX$.
4. 4
   $△ABC\cong △EDF$ and $m\angle A=72^{\circ }$. Find $m\angle E$.

L.2The triangles are similar. Find x.

1. 5
   x = 
2. 6
   x = 

L.2The triangles are similar. Find x. (continued)

1. 7
   x = 
2. 8
   x = 

L.3Write yes or no.

1. 9
   Triangle 1 has angles of $85^{\circ }$ and $48^{\circ }$. Triangle 2 has angles of $47^{\circ }$ and $48^{\circ }$. Are they similar? 
2. 10
   Triangle 1 has angles of $62^{\circ }$ and $39^{\circ }$. Triangle 2 has angles of $62^{\circ }$ and $73^{\circ }$. Are they similar? 
3. 11
   Triangle 1 has angles of $25^{\circ }$ and $68^{\circ }$. Triangle 2 has angles of $72^{\circ }$ and $25^{\circ }$. Are they similar? 
4. 12
   Triangle 1 has angles of $78^{\circ }$ and $30^{\circ }$. Triangle 2 has angles of $72^{\circ }$ and $30^{\circ }$. Are they similar? 

L.4Answer each question.

1. 13
   Two similar triangles have areas of $3$ m² and $48$ m². What is the scale factor from the smaller to the larger?
2. 14
   A trapezoid has a area of $5$ cm². It is dilated by a scale factor of $2$. What is the new area?
3. 15
   Two similar prisms have volumes of $5$ in³ and $135$ in³. What is the scale factor from the smaller to the larger?
4. 16
   Two similar cones have volumes of $2$ cm³ and $16$ cm³. What is the scale factor from the smaller to the larger?

L.1Corresponding Parts of Congruent Figures

1. 1$20$ in
2. 2$5$ cm
3. 3$7$ ft
4. 4$72^{\circ }$

L.2Similar Triangles: Find the Missing Side

1. 5$16$
2. 6$9$
3. 7$6$
4. 8$9$

L.3Similar Triangles: Angle-Angle

1. 9yes
2. 10no
3. 11no
4. 12yes

L.4Scale Factor: Perimeter, Area & Volume

1. 13$4$
2. 14$20$ cm²
3. 15$3$
4. 16$2$