Geometry Midterm Practice

Front

What are congruent angles?

Back

Angles that have the same measure.

Tags

CCSS.8.G.A.2

Front

If ∠3 = 12y - 2 and ∠4 = 8y + 26 are congruent, how do you find the value of y?

Back

Set the equations equal to each other: 12y - 2 = 8y + 26.

Tags

CCSS.HSG.CO.C.9

Front

What is the measure of angle 4 if ∠3 = 12y - 2 and ∠4 = 8y + 26 are congruent and y = 7?

Back

Substituting y = 7 into ∠4 gives: ∠4 = 8(7) + 26 = 82.

Tags

CCSS.7.G.B.5

Front

What is a linear pair of angles?

Back

Two adjacent angles that form a straight line and are supplementary.

Tags

CCSS.7.G.B.5

Front

If ∠1 = 4x - 7 and ∠2 = 5x - 2 form a linear pair, how do you solve for x?

Back

Set up the equation: (4x - 7) + (5x - 2) = 180.

Tags

CCSS.7.G.B.5

Front

What is the sum of angles in a linear pair?

Back

180 degrees.

Tags

CCSS.7.G.B.5

Front

How do you find the length of a segment if you know the lengths of the other segments in a triangle?

Back

Use the triangle inequality theorem or algebraic equations based on the given lengths.

Tags

CCSS.HSG.CO.A.1

Front

What is the triangle inequality theorem?

Back

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

What does it mean to simplify a radical expression?

Back

To express the radical in its simplest form, removing any perfect square factors.

Front

What is √50 simplified?

Back

√50 = √(25*2) = 5√2.