GRADE 7 MATHEMATICS (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected to: (D) use critical attributes to define similarity.
Sketch and label 2 other triangles that would be similar to triangle ABC and justify your sketches. Sketch 2 triangles that would not be similar to triangle ABC and justify your sketches. C 6
9
A
B
12
Similar Triangles: Sketch 1:
Justification:
Sketch 2:
Justification:
Triangles that are not similar: Sketch 1:
Justification:
Sketch 2:
Justification:
1. What mathematical concepts and vocabulary do I need to know to be able to work this problem? 2. Will the Grade 7 Mathematics Formula Chart be helpful on this problem? Why or why not? 3. Will a picture or diagram be helpful on this problem? If so, how?
4. What problem-solving strategy or strategies will I use to help solve this problem? 5. Extension (7.6D): What is the scale factor you used to create the first triangle that is similar to the given triangle? TEKSING TOWARD TAKS Š 2006
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GRADE 7 MATHEMATICS (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected to: (D) use critical attributes to define similarity.
Sketch and label 2 other triangles that would be similar to triangle ABC and justify your sketches. Sketch 2 triangles that would not be similar to triangle ABC and justify your sketches. C 6
9
A
B
12
Triangles that are similar: Sketch 1:
Justification:
Sketch 2:
Justification:
Triangles that are not similar: Sketch 1:
Justification:
TEKSING TOWARD TAKS Š 2006
Sketch 2:
Justification:
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GRADE 7 MATHEMATICS (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected to: (D) use critical attributes to define similarity.
If the corresponding sides of two rectangles are proportional, then the two rectangles can be classified asA
congruent
B
similar
C
regular
D
reflections
If the corresponding base angles of two isosceles triangles are congruent and the bases are proportional then the two triangles can be classified asA
congruent
B
similar
C
regular
D
reflections
Which of the following statements is true? A
All right triangles are similar.
B
All isosceles triangles are similar.
C
All squares are similar.
D
All rectangles are similar.
Triangle ABC is similar to triangle DEC. Segment AB is parallel to segment ED. A
12
B 8
6 C x E
D 20
Which rectangle is similar to rectangle ABCD? 10 cm
A
B 4 cm
D
Which of the following proportions can be used to find the value of x?
A
12 20
x 8
C
4 cm
B 2 cm
A
6 cm B
C 2 cm
5 cm
D 2.5 cm
C
12
8 20 x
12
x 20 6
12
20 6 x
5 cm D
2 cm
TEKSING TOWARD TAKS © 2006
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