Geometry Unit 2 Review Quiz

• (9, 27)

• (27, 9)

• (-15, -9)

• (7, 18)

What is the length of the altitude of the triangle shown?

The locations of buildings in town are shown on the graph. A new store is being built halfway between your house and the market. What will be the shortest distance from the new store to the school?

A true conditional statement is given below:

"If a polygon has four sides, then it is a quadrilateral."

Write the inverse and determine the validity of the inverse.

• If a polygon does not have 4 sides, then it is not a quadrilateral.

  False

• If a polygon is a quadrilateral, then it has four sides.

  True

• If a polygon does not have 4 sides, then it is not a quadrilateral.

  True.

• If a polygon is a quadrilateral, then it has four sides.

  False

Match the term to its definition.

• Unproven based on observation

• Conjecture

• Considered true without proof

• Postulate

• Line segment on a sphere

• Arc

• Proven to be true

• Theorem

Bill made the following conjecture:

"For all real numbers x, x³ is greater than or equal to x."

Which of the following values of x can be used as a counterexample to disprove Bill's conjecture?

• x = 2

• x = 0

• x = 1

Based on the angles formed by transversals, fill in the blanks with either congruent or supplementary.

Same side interior angles are ​ ​ (a)  

Same side exterior angles are ​ (b)  

Alternate interior angles are ​ (c)  

Alternate exterior angles are ​ (d)  

Corresponding angles are ​ (e)  

• supplementary
• congruent
• complementary

The measure of angle X is 68 degrees and the measure of angle Z is 32 degrees less than angle X.

What is the measure of angle Y?

Determine the length of the missing side.

A tree is hit by lightning and falls as if hinged, forming a right triangle with the ground. The top of the tree falls approximately 22 feet from its base at an angle of elevation of 24.1 degrees with the ground. Approximately how tall was the tree before it fell?

• 24 feet

• 34 feet

• 10 feet

• 22 feet