Lessons on Similar Figures

All angles in similar figures are congruent.  

• True
• False

Matching sides are called

• Corresponding Sides
• Corresponding Angles
• The Same
• Congruent Sides

Two objects that are the same shape but not the same size are _______.

• Congruent
• Vertical
• Similar
• Complementary 

Sides in similar figures must be proportional.  

• True
• False 

Two shapes that are similar are also congruent

• True
• False

Matching angles are called

• Corresponding Sides
• Corresponding Angles
• The Same
• Congruent Angles

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.
• Yes, but only because ABC and DEF are in order.

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.
• Yes, but only because DEF and QRS are in order.

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.
• Yes, but only because QRS are in order.

Choose a point Y that will complete Triangle XZY so that it is similar to Triangle IJK.  List the scale factor from Triangle IJK to Triangle XZY.
HINT: Pay attention to the order of the vertices!

• (-4, 5) with a scale factor of 2
• (-4, 5) with a scale factor of 1/2
• (-4, 2) with a scale factor of 2
• (-4, 2) with a scale factor of 1/2