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Name _______________________________________ Date ___________________ Class __________________
Practice A
Ratio in Similar Polygons
Fill in the blanks to complete each definition.
1. A similarity ratio is the ratio of the lengths of the ____________________ sides of two
similar polygons.
2. Two polygons are similar if and only if their corresponding angles are
____________________ and their corresponding sides are.____________________.
3. Figures that are similar have the same shape but not necessarily the same
____________________.
Use the figure for Exercises 4 and 5. The triangles are similar.
4. Name the pairs of congruent angles.

 A  ____________________

 B  ____________________

 C  ____________________
5. Write the corresponding side lengths in the proportion below.
AB

DE

FD
Use the figure for Exercises 6 and 7. The triangles are similar.
6. Circle the correct similarity statement.

 QRS  KJL
RSQ  KJL
QSR  LKJ
7. Write a proportion with all three pairs of corresponding
side lengths.
_______________________________________
Use the figure for Exercises 8 and 9.
8. Tell why the corresponding angles in the rectangles are congruent.
__________________________________________________________
__________________________________________________________
9. Substitute numbers for the side lengths and reduce each ratio to simplest form.
DE
DG



______
__________
LM
MN _____________
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Analytic Geometry
Name _______________________________________ Date ___________________ Class __________________
Reading Strategies
14. midsegment triangle
1. rectangle
2. rhombus
3. square
4. rectangle
5. square
6. rhombus
7. rhombus
RATIOS IN SIMILAR POLYGONS
Practice A
1. corresponding
Reteach
2. congruent; proportional
1. valid
E
3. valid
5.
4. Not valid; need to know that EFGH is a
.
5. rhombus
6. rectangle, rhombus, square
7. rectangle
8. rectangle, rhombus, square
Challenge
7. a. The measure of each angle should
be 108. All the sides should be
congruent.
b. Results will vary.
8. Proceed as in Exercises 1–5. Draw 
bisectors of all sides of pentagon; mark
intersection of bisectors and the circle
as the other 5 points of the decagon;
draw line segments.
9. Choices will vary.
Problem Solving
1. Diagonals bisect each other, so the
quad. is a . The diagonals are , so
EFGH is a rect. because
with diags.
  rect.
2. No; from the given information, you can
conclude only that ABCD is a rhombus.
3. Both pairs of opposite sides are , so
STUV is a . STUV is a rectangle
because
with diags.   rect.
4. A
6. D
4. F
3. size
2. Not valid; need to know that MPQR is a
.
7.
D
AB CB AC


FE DE FD
KJL
6. RSQ 
RS SQ QR


KJ
JL LK
8. Possible answer: Every angle in a
rectangle is a right angle, and all right
angles are congruent.
9.
4
5
10.
8 4
;
10 5
Practice B
1. A  X; B  Z; C  Y;
AC AB BC 2



XY XZ ZY 3
2. H  Q; I  R; J  S; K  P;
KJ KH HI
JI 5




PS PQ QR SR 4
7
; Possible answer:
5
WTUV
3. yes;
EFGH 
4. No; sides cannot be matched to have
corresponding sides proportional.
5. yes
6. yes
7. no
8. yes
5. F
7. G
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Analytic Geometry