We includedHMH Into Math Grade 7 Answer KeyPDFModule 9 Review to make students experts in learning maths.
Vocabulary
Choose the correct term from the Vocabulary box.
Vocabulary
diameter
parallel
perpendicular
radius
Question 1.
The distance from the center of a circle to any point on the circle is the ____________ of the circle.
Answer:
Radius
Explanation:
A straight line extending from the center of a circle to the circumference or half of the diameter is known as radius.
Question 2.
Two lines that never intersect are ____________
Answer:
parallel lines
Explanation:
Two lines in the same plane that are at equal distance from each other and never meet as shown below,
Question 3.
A ___________ of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle.
Answer:
Diameter
Explanation:
The diameter is the length of the line through the center that touches two points on the edge of the circle.
Concepts and Skills
For Problems 4-5, draw a figure on the grid that matches each description.
Question 4.
A polygon with at least one pair of perpendicular sides, a side with a length of 8 units, and a side with a length of 6 units
Answer:
square
Explanation:
A square is a simple polygon with four sides are equal.
The above figure shows a pair of perpendicular sides, a side with a length of 8 units, and a side with a length of 6 units.
Question 5.
An acute triangle with exactly one line of symmetry and one side with a length of 4 units
Answer:
Triangle.
Explanation:
Triangle is a simple polygon with three side, three vertices and three angles.
The above figure shows an acute triangle with exactly one line of symmetry and one side with a length of 4 units.
Question 6.
Use Tools Alisa drew the triangle shown. She claims it is the only distinct triangle that can be drawn with a 90° angle and two sides that measure 5 inches and 7 inches. Is Alisa correct? Why or why not? State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
Answer:
yes, Alisa is correct.
Explanation:
Its a right angle triangle with 90° angle at one corner.
protractor is placed on a line drawn by a ruler or scale of length 5 in on x axis and mark a point at 7 inches on y axis for joining them, the third line will be joining the vertices of the two points.
Question 7.
An artist is designing a logo for a new business. She starts by drawing a rectangle with a length of 10 centimeters and a width of 6 centimeters. What is the radius of the largest circle the artist can draw inside the rectangle if points on the circle can touch the sides of the rectangle?
__________ centimeters
Answer:
3 centimeters
Explanation:
First draw a rectangle with a length of 10 centimeters and a width of 6 centimeters.
The largest circle the artist can draw inside the rectangle if points on the circle can touch the sides of the rectangle is with radius 3 centimeters, as shown in the above figure.
Question 8.
Two of the sides of a triangle measure 6 inches and 10 inches. Select all measurements that could be the length of the third side of the triangle.
(A) 4 inches
(B) 5 inches
(C) 8 inches
(D) 10 inches
(E) 12 inches
(F) 18 inches
Answer:
Except 4 inches and 18 inches , all measurements could be the length of the third side of the triangle.
Explanation:
Two of the sides of a triangle measure x = 6 inches and y = 10 inches
z <= 6 + 10 = 16
The following options make a triangle.
(B) 5 inches
(C) 8 inches
(D) 10 inches
(E) 12 inches
Question 9.
Colin draws two sides of a triangle so they measure 12 centimeters and 4 centimeters. What is a possible length of the third side?
_____________ centimeters
Answer:
possible length of third side is 15 cm
Explanation:
Two of the sides of a triangle measure x = 12 cm and y = 4 cm
The third side is less than the sum of the other two sides.
z < 12 + 4 = 16 cm
Question 10.
How many unique quadrilaterals can be constructed from sides measuring 9 inches, 9 inches, 12 inches, and 12 inches?
(A) none
(B) exactly one
(C) exactly two
(D) more than two
Answer:
more than two
Explanation:
A quadrilateral is a simple polygon with four sides, four vertices and four angles.
Question 11.
For each set of measurements, tell whether exactly one triangle, more than one triangle, or no triangle can be constructed.
Answer:
Explanation:
The sum of the internal triangles is 180 degrees.
The sum of the two sides of a triangle is greater than the third side.
Question 12.
Ernesto drew a quadrilateral that has exactly one pair of parallel sides and exactly one line of symmetry. Which shape could he have drawn?
Answer:
Option (B)
Explanation:
In option (B) the quadrilateral is with one pair of parallel sides is parallelogram, quadrilateral that has exactly one pair of parallel sides and exactly one line of symmetry.
