CL - Geom. - Mod. 1 - Topic 3 Test

Front

What is the SSS Congruence Theorem?

Back

The SSS (Side-Side-Side) Congruence Theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

What information is needed to conclude that \( \Delta PTS \cong \Delta RST \) using the SSS Congruence Theorem?

Back

You need \( \overline{PS} \cong \overline{RT} \).

Front

What does the Segment Addition Postulate state?

Back

The Segment Addition Postulate states that if point B is on line segment \( \overline{AC} \) and between points A and C, then \( AB + BC = AC \).

Front

Can spherical lines be parallel?

Back

No, because they always intersect.

Front

What is the ASA Congruence Theorem?

Back

The ASA (Angle-Side-Angle) Congruence Theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What information is needed to conclude that \( \Delta ADB \cong \Delta ACE \) using the ASA Congruence Theorem?

Back

You need \( \overline{AD} \cong \overline{AC} \).

Front

What is the SAS Congruence Theorem?

Back

The SAS (Side-Angle-Side) Congruence Theorem states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What additional information is needed to prove \( \Delta BGN \cong \Delta BAU \) by SAS?

Back

You need \( GN \cong AU \).

Front

What is the definition of congruent segments?

Back

Congruent segments are segments that have the same length.

Front

What is the definition of congruent angles?

Back

Congruent angles are angles that have the same measure.