AnswersFL-1205040-MJ Grade 7 Mathematics B -GFConstructing Triangles

Constructing Geometric Figures Answers

10 verified answers
1
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The triangles below will be used to construct a polygon.Which type of polygon could be created?

Question illustration
A
rectangle
B
square
C
octagon
D
heptagon
2
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Which name accurately describes the figure shown below and why?

Question illustration
A
parallelogram, because the figure has two pairs of parallel sides
B
parallelogram, because the figure has exactly one pair of parallel sides
C
trapezoid, because the figure has two pairs of parallel sides
D
trapezoid, because the figure has exactly one pair of parallel sides
3

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

Question illustration
A
720 degrees
Option A
B
900 degrees
Option B
C
1,080 degrees
Option C
D
1,260 degrees
Option D
4

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.
5

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
6

Javier constructed a square by drawing two congruent triangles. Which shows one of the triangles he could have used?

A
A triangle with angles 45 degrees, 45 degrees, and 90 degrees. 2 sides are congruent.
Option A
B
A triangle with angles 55 degrees, 35 degrees, and 90 degrees.
Option B
C
A triangle with angles 65 degrees, 65 degrees, and blank.
Option C
D
A triangle with 3 angles of 60 degrees. All sides are congruent.
Option D
7

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.
8

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

Question illustration
A
3
B
4
C
5
D
6
9

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
10

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

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