Name: ______________________
Class: _________________
Date: _________
Math 9 Section 7.1 - 7.4 Practice Quiz
Short Answer
1. Determine the scale factor for this scale diagram.
2. In a photo, the length of a model car is 4.2 cm.
The photo is to be enlarged by a scale factor of 5.5.
Determine the length of the car in the enlargement.
3. Which of parallelograms A, B, C, and D are scale diagrams of parallelogram O?
4. A circle has diameter 56 cm. The diameter of the reduction is 7 cm.
Determine the scale factor.
1
ID: A
Name: ______________________
ID: A
5. Determine the scale factor for this reduction.
6. Calculate the side length, in units, in this proportion:
PQ
4
=
7. These two pentagons are similar. Determine the value of x.
8. Which triangle is similar to ΔABC?
2
3
48
Name: ______________________
ID: A
9. These triangles are similar. Complete the ratios of the corresponding sides:
PQ
=
PR
=
QR
10. Determine the length of AE in this pair of similar triangles.
11. Determine the length of EB in this pair of similar triangles.
12. When the shadow of a flagpole is 33.6 m long, a 1.8-m fencepost casts a shadow 2.8 m long. How tall is
the flagpole?
3
Name: ______________________
ID: A
13. Determine the length of BD in these similar triangles.
14. Determine the lengths of CD and CE in these similar triangles.
15. Determine the length of RS in these similar triangles.
4
Name: ______________________
ID: A
Problem
16. Determine the length of HG.
17. Identify the similar triangles. Justify your answer.
5
ID: A
Math 9 Section 7.1 - 7.4 Practice Quiz
Answer Section
SHORT ANSWER
1. ANS:
4
PTS: 1
DIF: Easy
REF: 7.1 Scale Diagrams and Enlargements
LOC: 9.SS4
TOP: Shape and Space (Transformations)
KEY: Procedural Knowledge
2. ANS:
23.1 cm
PTS: 1
DIF: Easy
REF: 7.1 Scale Diagrams and Enlargements
LOC: 9.SS4
TOP: Shape and Space (Transformations)
KEY: Procedural Knowledge
3. ANS:
Parallelogram C
PTS: 1
DIF: Moderate
REF: 7.1 Scale Diagrams and Enlargements
LOC: 9.SS4
TOP: Shape and Space (Transformations)
KEY: Procedural Knowledge
4. ANS:
1
8
PTS: 1
DIF: Easy
REF: 7.2 Scale Diagrams and Reductions
LOC: 9.SS4
TOP: Shape and Space (Transformations)
KEY: Procedural Knowledge
5. ANS:
2
3
PTS: 1
DIF: Easy
REF: 7.2 Scale Diagrams and Reductions
LOC: 9.SS4
TOP: Shape and Space (Transformations)
KEY: Procedural Knowledge
6. ANS:
0.25
PTS: 1
DIF: Easy
REF: 7.3 Similar Polygons
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
1
ID: A
7. ANS:
8 cm
PTS: 1
DIF: Moderate
REF: 7.3 Similar Polygons
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
8. ANS:
ΔPQR
PTS:
LOC:
KEY:
9. ANS:
PQ
=
KL
1
DIF: Easy
REF: 7.4 Similar Triangles
9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
Procedural Knowledge
QR
PR
=
KM LM
PTS: 1
DIF: Easy
REF: 7.4 Similar Triangles
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Conceptual Understanding
10. ANS:
11.25
PTS: 1
DIF: Moderate
REF: 7.4 Similar Triangles
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
11. ANS:
9
PTS: 1
DIF: Moderate
REF: 7.4 Similar Triangles
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
12. ANS:
21.6 m
PTS: 1
DIF: Moderate
REF: 7.4 Similar Triangles
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
13. ANS:
BD = 10
PTS: 1
DIF: Moderate
REF: 7.4 Similar Triangles
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
2
ID: A
14. ANS:
CD = 6
CE = 4
PTS: 1
DIF: Moderate
REF: 7.4 Similar Triangles
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
15. ANS:
RS = 109.2 m
PTS: 1
DIF: Moderate
REF: 7.4 Similar Triangles
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
PROBLEM
16. ANS:
DG
GF
=
DH HE
7 + HG 25
=
7
10
7×
7 + HG 25
=
×7
7
10
7 + HG =
25 × 7
10
7 + HG = 17.5
7 + HG− 7 = 17.5 − 7
HG = 10.5
The length of HG is 10.5 units.
PTS: 1
DIF: Difficult
REF: 7.4 Similar Triangles
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Problem-Solving Skills | Procedural Knowledge
17. ANS:
From the diagram, ∠D = ∠A = 90°.
∠B is common to both triangles.
Since two pairs of corresponding angles are equal, the angles in the third pair must also be equal because
the sum of the angles in each triangle is 180°.
Since 3 pairs of corresponding angles are equal, EDB ∼ CAB
PTS: 1
DIF: Moderate
REF: 7.4 Similar Triangles
LOC: 9.SS3
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Problem-Solving Skills | Communication
3