Name
LESSON
Date
Class
Problem Solving
9-9 Congruent Figures
Write the correct answer.
The table shows the dimensions of
regulation NBA and NCAA basketball
courts, which are rectangular in shape.
2. If the lane on an NBA court is the
same shape as the lane on an NCAA
court, are they congruent? Explain.
Basketball Court and Lane Sizes
NBA
NCAA
Court
94 ft by 50 ft
94 ft by 50 ft
Lane
16 ft by 19 ft
12 ft by 19 ft
3. The lane on a WNBA court is 12 feet
by 19 feet. If the lane is the same
shape as that of the NBA lane, are
they congruent? Why or why not?
1. Is an NBA court congruent to an
NCAA court? Why or why not?
Choose the letter for the best answer.
5. The Mexican flag is a rectangle
divided into three vertical stripes of
identical measures. Which of the
following statements is true about the
Mexican flag?
F It has 3 congruent rectangles.
G It has 3 rectangles that are not
congruent.
H It has 4 congruent rectangles.
J It has 4 rectangles and none are
congruent.
4. The parallelograms below are
congruent. What is the measure of
U?
R
S
A
B
50°
D
C
U
T
A 50°
B 130°
C 100°
D 260°
7. JKL is congruent to RST. L and
T are right angles. Which statement
about the two triangles is not true?
F mK mS
G JK
RS
H mJ mL
J mR mS 90°
6. In ABC, mA mB, and
mC 100°. What are the measures
of the angles in DEF if it is
congruent to ABC ?
A 60°, 60°, 100°
B 20°, 60°, 100°
C 30°, 60°, 100°
D 40°, 40°, 100°
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Holt Mathematics
Problem Solving
9-9 Congruent Figures
Challenge
9-9 Congruent Presidents?
LESSON
LESSON
Write the correct answer.
Find the figures in each row that appear to be congruent. Write
their letters on the line next to the figures. Unscramble the
letters to name the president.
The table shows the dimensions of
regulation NBA and NCAA basketball
courts, which are rectangular in shape.
1.
K
L
A
N
T
Basketball Court and Lane Sizes
KNE
E
2.
E
D
O
N
A
No, they are not the same size.
NBA
NCAA
Court
94 ft by 50 ft
94 ft by 50 ft
Lane
16 ft by 19 ft
12 ft by 19 ft
3. The lane on a WNBA court is 12 feet
by 19 feet. If the lane is the same
shape as that of the NBA lane, are
they congruent? Why or why not?
1. Is an NBA court congruent to an
NCAA court? Why or why not?
EN, DY
Y
2. If the lane on an NBA court is the
same shape as the lane on an NCAA
court, are they congruent? Explain.
Yes, they are both rectangles
Kennedy
3. This president had a pony named Macaroni.
No, they are not the same size.
and both 94 ft by 50 ft.
4.
Choose the letter for the best answer.
B
R
R
A
T
E
O
RR, AH
H
5.
A
N
C
O
I
E
NO, IS
S
50°
T
D
Harrison
L
O
E
C
N
R
OO, CL
E
P
I
L
G
A
D
ED, IG
9. This president walked his raccoon named Rebecca on
a leash at the White House.
77
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C 100°
D 260°
7. JKL is congruent to RST. L and
T are right angles. Which statement
about the two triangles is not true?
F mK mS
G JK
RS
H mJ mL
J mR mS 90°
6. In ABC, mA mB, and
mC 100°. What are the measures
of the angles in DEF if it is
congruent to ABC ?
A 60°, 60°, 100°
B 20°, 60°, 100°
C 30°, 60°, 100°
D 40°, 40°, 100°
8.
O
U
A 50°
B 130°
7.
A
C
T
6. This president had a goat named Old Whiskers who
used to pull the president’s grandchildren in a cart.
O
5. The Mexican flag is a rectangle
divided into three vertical stripes of
identical measures. Which of the
following statements is true about the
Mexican flag?
F It has 3 congruent rectangles.
G It has 3 rectangles that are not
congruent.
H It has 4 congruent rectangles.
J It has 4 rectangles and none are
congruent.
4. The parallelograms below are
congruent. What is the measure of
U?
R
S
A
B
Coolidge
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Holt Mathematics
Puzzles, Twisters & Teasers
9-9 Hit the Nail on the Head!
Reading Strategies
9-9 Graphic Organizer
LESSON
LESSON
Decide whether or not each pair of figures is congruent. Circle the
letter above your answer. Unscramble the letters to solve the riddle.
This chart helps you understand congruence.
Definition
1.
Facts
Two figures that have exactly the same
size and shape are congruent.
B
2.
E
4
• Corresponding angles are congruent.
5
5
5
62°
• Corresponding sides are congruent.
4
6
2
3
5.6
60°
2
3
81°
83°
6.6
5
A
C
3
F
127°
D
3
5
127°
1.62
2
Congruence
Examples, 17
Non-examples
T
congruent
J 37°
T
4 cm
37°
5 cm
5 cm
K
not congruent
P
congruent
3.
4 cm
4.
120 m
M 3 cm B
70 m
N
P
120 m
70 m 70 m
8 in.
6 in.
70 m
M
D 3 cm N
120 m
M
congruent
Use the chart to answer each question.
120 m
L
congruent
5.
6.
120 m
65°
35°
1. How can you tell if two figures are congruent?
70 m
They have the same size and same shape.
70 m
70 m
65°
35°
120 m
2. Are the rectangles congruent? Why or why not?
No; They are not the same size.
U
congruent
3. Compare the two triangles. Which side corresponds to TD?
70 m
B
not congruent
8 in.
A
not congruent
4m
64°
3m
4.5 m
114°
92°
2m
60°
40°
120 m
Q
R
4m
64°
120 m
60°
40°
5 in.
7 in.
O
7 in.
R
not congruent
H
not congruent
I
congruent
4.5 m
3m
114°
92°
2m
W
not congruent
Which nail does a carpenter hate to hit?
JB
His
4. How long are T
D
and JB
?
T
H
U
M
B
A
N
I
L
4 centimeters
5. Which angle corresponds to angle D?
angle B
6. Are the two triangles congruent? Explain why or why not.
Yes; Possible answer: corresponding sides and corresponding angles are
congruent.
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All rights reserved.
79
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
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