Topic Readiness
Congruence
Triangles
Theorems
Properties
100

Lines that intersect and form right angles.

What are Perpendicular Lines?

100

A transformation that reflects each point in the preimage across a line of reflection.

What is a Reflection?
100

One of the two sides that form the right angle in a right triangle.

What is a leg?

100

If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

What is the Side-Side-Side (SSS) Congruence?

100

If points A, B, and C are on the same line with B between A and C, then AB + BC = AC.

What is the Segment Addition Postulate?

200

One of a triangle's three corners.

What is a vertex?

200

A transformation that rotates each point in the preimage about a point P.

What is a Rotation?

200

Any one of a triangle's three sides, chosen as the reference, with the corresponding height being the perpendicular line from the opposite corner.

What is the base?

200
If a line segment bisects the vertex angle of an isosceles triangle, then it is also the perpendicular bisector of the opposite side.

What is the Perpendicular Bisector Theorem?

200

This property states that if one value equals a second value, and that second value equals a third, then the first value must also equal the third.

What is the Transitive Property of Equality (or Congruence)?
300
Angles that are in the same relative position when a transversal crosses two lines.

What are Corresponding Angles?

300

A transformation in a plane that maps all points of a preimage the same distance and in the same direction.

What is a Translation?

300

An angle with a measure over 90°?

What is an obtuse angle?

300

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.

What is Side-Angle-Side (SAS) Congruence?

300

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.

What is the Hypotenuse-Leg Theorem?

400

Non-adjacent exterior angles that lie on opposite sides of the transversal.

What are Alternate Exterior Angles?

400

Another term of a rigid motion transformation that results in a figure that has congruent sides and angles.

What is Congruence Transformation?

400

A triangle with two congruent sides.

What is an isosceles triangle?

400

If two triangles are congruent, then each pair of corresponding sides is congruent and each pair of corresponding angles is congruent.

What is the Corresponding Parts of Congruent Triangles are Congruent (CPCTC) Theorem?

400

Any figure (line segment, angle, or shape) is congruent to itself

What is the Reflexive Property of Congruence?

500

A line that intersects two or more lines at distinct points.

What is a transversal?

500

A composition of a reflection followed by a translation in a direction parallel to the line of reflection.

What is a Glide Reflection?

500

The longest side of a right triangle, always located directly opposite the right angle.

What is the Hypotenuse?

500

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

What is the Isosceles Triangle Theorem?

500

Triangle Exterior Angle Theorem

What is "the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent (remote) interior angles."

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