PRACTICE BENCHMARK

Front

Which of the following transformations is NOT a rigid motion? A) Reflection, B) Rotation, C) Dilation, D) Translation

Back

C) Dilation - Dilation is a transformation that alters the size of a figure but not its shape, making it a non-rigid motion.

Front

A circumscribed angle is an angle formed by two lines that are __________ to a circle. A) Chords, B) Secants, C) Tangents, D) Radii

Back

C) Tangents - A circumscribed angle is formed by two tangents to a circle.

Front

What does CPCTC stand for? A) Corresponding Parts of Congruent Triangles are Congruent, B) Corresponding Parts of Congruent Triangles are Similar, C) Congruent Parts of Corresponding Triangles are Congruent, D) None of the above

Back

A) Corresponding Parts of Congruent Triangles are Congruent - CPCTC is a key principle used in triangle congruence.

Front

Which postulate is sufficient to prove triangle congruence with the following information: AB=DE, AC=DF, and with one included ∠A=∠D? A) SSS, B) SAS, C) ASA, D) AAS

Back

C) ASA - The Angle-Side-Angle postulate states that if two angles and the included side of one triangle are equal to those of another triangle, the triangles are congruent.

Front

If △XYZ is congruent to △ABC by ASA, which of the following must be true? A) ∠X = ∠A, B) ∠Y = ∠C, C) XY= AC, D) None of the above

Back

A) ∠X = ∠A - By the Angle-Side-Angle postulate, corresponding angles of congruent triangles are equal.

Front

Define rigid motion in geometry.

Back

Rigid motion is a transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

What is the definition of a tangent to a circle?

Back

A tangent to a circle is a line that touches the circle at exactly one point and is perpendicular to the radius at that point.

Front

Explain the SSS postulate for triangle congruence.

Back

The Side-Side-Side (SSS) postulate states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What is the difference between similar and congruent triangles?

Back

Similar triangles have the same shape but not necessarily the same size (corresponding angles are equal, and sides are proportional), while congruent triangles are identical in shape and size (all corresponding sides and angles are equal).

Front

What does the term 'circumscribed' mean in relation to a circle?

Back

Circumscribed refers to a circle that passes through all the vertices of a polygon, with the polygon being inside the circle.