*EOC Review Practice #3 Geometry*

Front

What is the definition of a perpendicular bisector?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a 90-degree angle.

Front

Write the equation for the perpendicular bisector of segment \( \overline{MN} \) if \( \overline{PQ} \) is the bisector.

Back

The equation is \( 6x + 1 = 10x - 17 \).

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What is the ASA postulate?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does it mean if triangles are not possible to be congruent?

Back

It means that there is insufficient information to determine if the triangles are congruent based on the given criteria.

Front

How do you simplify a radical expression?

Back

To simplify a radical expression, factor the number under the radical into its prime factors and look for pairs of factors to take out of the radical.

Front

What is the simplified form of \( 2\sqrt{5} \)?

Back

The expression \( 2\sqrt{5} \) is already in its simplest form.

Front

What is the value of \( x \) if \( 6x + 1 = 2x + 5 \)?

Back

To solve for \( x \), rearrange the equation: \( 6x - 2x = 5 - 1 \) which simplifies to \( 4x = 4 \), thus \( x = 1 \).