AnswersMath 7 B M12 2526 S2Constructing Geometric Figures

Constructing Geometric Figures Answers

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1
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Which polygon is a hexagon?

A
A 5-sided figure.
Option A
B
A 6-sided figure.
Option B
C
An 8-sided figure.
Option C
D
A 7-sided figure.
Option D
2
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For which polygon is the sum of the interior angles equal to 540?

A
A 5-sided figure.
Option A
B
A 6-sided figure.
Option B
C
A 6-sided figure.
Option C
D
A 4-sided figure.
Option D
3

What is the minimum number of triangles needed to construct a hexagon?

Question illustration
A
3
B
4
C
5
D
6
4

The minimum number of triangles needed to construct the polygon Sophia made is 3. Which could show Sophia’s polygon?

A
A 4-sided figure.
Option A
B
A 6-sided figure.
Option B
C
A 5-sided figure.
Option C
D
A 4-sided figure.
Option D
5

Samera placed the congruent sides of these two triangles together to form a quadrilateral. Which statements are true of the quadrilateral she constructed? Select three options.

Question illustration
A
It is a rectangle.
B
It is a trapezoid.
C
It has only one right angle.
D
It has two right angles.
E
It has two sides that are parallel.
6

Two triangles were required to construct the figure below. What is the sum of the measures of the interior angles of this figure?

Question illustration
A
136 degrees
Option A
B
272 degrees
Option B
C
360 degrees
Option C
D
720 degrees
Option D
7

Caroline drew two triangles and used them to construct a rhombus with two acute angles and two obtuse angles. Which could be one of the triangles she used?

A
A triangle has angles 72 degrees, 62 degrees, and blank.
Option A
B
A triangle has angles 75 degrees, 75 degrees, and blank. 2 sides are congruent.
Option B
C
A triangle has angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent.
Option C
D
A triangle has angles 30 degrees, 60 degrees, and 90 degrees.
Option D
8

What is the sum of the measures of the interior angles of this polygon?

Question illustration
A
270 degrees
Option A
B
450 degrees
Option B
C
540 degrees
Option C
D
900 degrees
Option D
9

Claire thinks that if she draws a parallelogram with 2 congruent sides, it must be a rhombus. Jacob thinks that she would need to draw a parallelogram with at least 3 congruent sides before she could be sure it was a rhombus. Who is correct, if anyone, and why?

A
Only Claire is correct, because if the figure is a parallelogram and 2 sides are congruent, it must have all 4 sides congruent.
B
Only Jacob is correct, because a parallelogram with 4 congruent sides must have 2 pairs of opposite sides that are congruent.
C
Both are correct because if a figure has at least 2 congruent sides, it must have 4 congruent sides.
D
Neither is correct because one would need to draw 4 congruent sides in order to be sure the figure was a rhombus.
10

Nico and Karina wrote these statements in their math journals.Nico’s StatementKarina’s StatementA 4-sided polygon with at least one pair of parallel sides must be a parallelogram.A 4-sided polygon with at least one pair of parallel sides must be a trapezoid.Which describes the accuracy of their statements and why?

A
Nico is correct because if one pair of sides in a quadrilateral is parallel, the other pair must be also.
B
Karina is correct because a trapezoid has exactly one pair of parallel sides.
C
Both are correct because a 4-sided polygon with at least one pair of parallel sides must be both a parallelogram and a trapezoid.
D
Neither is correct because a 4-sided polygon with at least one pair of parallel sides could be either a parallelogram or a trapezoid.

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