HSPT Math : Geometry

Study concepts, example questions & explanations for HSPT Math

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Example Questions

Example Question #12 : How To Find The Perimeter Of A Figure

A circle has radius 8. The circumference of the circle is 40% of what number?

Possible Answers:

Correct answer:

Explanation:

The circumference of a circle is its radius mulitplied by . The radius is 8, so the circumference is 

.

To find the number of which this is 40%, divide this by 40%, or :

Example Question #61 : Geometry

.

 is a right angle.

.

Is  scalene, isosceles, or equilateral - or can it be determined?

Possible Answers:

 is a isosceles triangle, but not equilateral.

 is a scalene triangle.

Whether  is scalene, isosceles, or equilateral cannot be determined.

 is an equilateral triangle.

Correct answer:

 is a isosceles triangle, but not equilateral.

Explanation:

Corresponding angles of similar triangles are congruent, so 

The degree measures of the angles of a triangle total 180, so

Since  and  are congruent, by the Isosceles Triangle Theorem, 

making  isosceles.

Example Question #11 : How To Find The Perimeter Of A Figure

A ladder 30 feet long leans against a house. The top of the ladder is feet above the ground. In terms of , how far along the ground is the bottom of the ladder from the house?

Possible Answers:

Correct answer:

Explanation:

The ladder, which is 30 feet long, is the hypotenuse of a right triangle whose legs are the line from the top of the ladder to the ground, which has length feet, and the line from the bottom of the ladder horizontally to the house, whose length we will call feet. See the diagram below.

Ladder

 

 

 

 

By the Pythagorean Theorem,

Solving for :

, the correct choice.

Example Question #12 : How To Find The Perimeter Of A Figure

What is the perimeter of the polygon below? 

A

 

Possible Answers:

Correct answer:

Explanation:

To find the area of a perimeter, we add all of the side lengths together. 

Example Question #3 : Parallelograms

What is the perimeter of the polygon below? 

B

 

Possible Answers:

Correct answer:

Explanation:

To find the area of a perimeter, we add all of the side lengths together. 

Example Question #61 : Geometry

What is the perimeter of the polygon below? 

C

 

Possible Answers:

Correct answer:

Explanation:

To find the area of a perimeter, we add all of the side lengths together. 

Example Question #13 : How To Find The Perimeter Of A Figure

What is the perimeter of the polygon below? 

D

 

Possible Answers:

Correct answer:

Explanation:

To find the area of a perimeter, we add all of the side lengths together. 

Example Question #3 : Parallelograms

What is the perimeter of the polygon below? 

E

 

Possible Answers:

Correct answer:

Explanation:

To find the area of a perimeter, we add all of the side lengths together. 

Example Question #21 : Plane Geometry

What is the perimeter of the polygon below? 

F

 

Possible Answers:

Correct answer:

Explanation:

To find the area of a perimeter, we add all of the side lengths together. 

Example Question #1871 : Common Core Math: Grade 3

What is the perimeter of the polygon below? 

G

 

Possible Answers:

Correct answer:

Explanation:

To find the area of a perimeter, we add all of the side lengths together. 

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