합동과 닮음 단원 종합

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

1. 1
   $△ABC\cong △JLK$ and $BA=17$ ft. Find $LJ$.
2. 2
   $△ABC\cong △EFD$ and $m\angle B=49^{\circ }$. Find $m\angle F$.
3. 3
   $△ABC\cong △MNO$ and $BA=23$ m. Find $NM$.
4. 4
   $△ABC\cong △UTS$ and $AB=21$ in. Find $UT$.

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 $73^{\circ }$ and $69^{\circ }$. Triangle 2 has angles of $69^{\circ }$ and $79^{\circ }$. Are they similar? 
2. 10
   Triangle 1 has angles of $66^{\circ }$ and $40^{\circ }$. Triangle 2 has angles of $74^{\circ }$ and $66^{\circ }$. Are they similar? 
3. 11
   Triangle 1 has angles of $83^{\circ }$ and $36^{\circ }$. Triangle 2 has angles of $36^{\circ }$ and $52^{\circ }$. Are they similar? 
4. 12
   Triangle 1 has angles of $42^{\circ }$ and $97^{\circ }$. Triangle 2 has angles of $87^{\circ }$ and $42^{\circ }$. Are they similar? 

L.4Answer each question.

1. 13
   Two similar cones have volumes of $6$ cm³ and $162$ cm³. What is the scale factor from the smaller to the larger?
2. 14
   Two similar rectangles have areas of $7$ in² and $175$ in². What is the scale factor from the smaller to the larger?
3. 15
   Two similar cones have volumes of $2$ ft³ and $16$ ft³. What is the scale factor from the smaller to the larger?
4. 16
   Two similar trapezoids have areas of $13$ in² and $52$ in². What is the scale factor from the smaller to the larger?

L.1Corresponding Parts of Congruent Figures

1. 1$17$ ft
2. 2$49^{\circ }$
3. 3$23$ m
4. 4$21$ in

L.2Similar Triangles: Find the Missing Side

1. 5$10$
2. 6$25$
3. 7$9$
4. 8$33$

L.3Similar Triangles: Angle-Angle

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

L.4Scale Factor: Perimeter, Area & Volume

1. 13$3$
2. 14$5$
3. 15$2$
4. 16$2$