Topic 8 - Solve Problems using Geometry

On a scale drawing of a basketball court, 1 inch equals 8 feet. What is the actual area of the basketball court if the scale drawing is 11.75 inches by 6.25 inches?

• 4000 square feet
• 5200 square feet
• 4700 square feet
• 3600 square feet

What is the actual length of the living space if the length in the scale drawing is 16.8 centimeters?

(Hint: how do we get from 2 cm -> 2.5 m? multiply that same ratio to 16.8 cm)

• 25 m
• 18 m
• 21 m
• 15 m

A playground has two sides that each measure 70 feet and two sides that each measure 50 feet. Name the quadrilaterals that describe the shape of a playground with these dimensions. (Hint: there are 2 answers)

• Parallelogram

• Rectangle
• Triangle

• Square

Select all the sets of conditions that will form only one unique triangle.

• Two angles and an included side

• Two sides and a nonincluded angle

• Two sides and an included angle

• All three angles

• All three sides

Select a value to tell how each pair of angles is related.

Groups:

(a) Equal

,

(b) Add to 180°

• ∠1 and ∠2

• ∠3 and ∠4

• ∠2 and ∠4

• ∠1 and ∠3

The figure shows ∠ABD is 90°, split by line BC. The measure of ∠ABC is x° and the measure of ∠DBC is (3x + 10)°. What is the value of x?

Mathematical Equivalence

ON

In the figure below, what is m∠ABE?

Mathematical Equivalence

ON

What is the value of x in the figure at below?

Mathematical Equivalence

ON

Select all the statements that are true.

• The radius of a circle is twice its diameter.

• The circumference of a circle is greater than its diameter.

• The circumference of a circle is twice its radius.

• To find the diameter of a circle, multiply its radius by two.

What is the circumference, in centimeters, of the circle?

Use 3.14 for 𝝿.

Mathematical Equivalence

ON