Geometry Unit 4 (9th Grade)

What are Congruent Figures and their characteristics?

• 2 figures that have the same size and the same shape

• Corresponding parts like sides and angles are congruent

• The distance between the 2 figures are equal

Tags

CCSS.8.G.A.2

If 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the third angles are the congruent

• Third Angles Theorem

• Isosceles Triangle Theorem

• Converse of Isosceles Triangle Theorem

• Perpendicular Isosceles Triangle Bisector Theorem

• CPCTC

Tags

CCSS.8.G.A.5

Tags

CCSS.HSG.CO.B.7

Tags

CCSS.HSG.CO.B.7

If 3 sides of 1 triangle are congruent to 3 sides of another triangle, then the triangles are congruent

• Side-Side-Side (SSS) Postulate

• Side-Angle-Side (SAS) Postulate

• Angle-Side-Angle (ASA) Postulate

• Angle-Angle-Side (AAS) Theorem

• Hypotenuse-Leg (HL) Theorem

Tags

CCSS.HSG.SRT.B.5

If 2 sides and the included angle of 1 triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent

• Side-Side-Side (SSS) Postulate

• Side-Angle-Side (SAS) Postulate

• Angle-Side-Angle (ASA) Postulate

• Angle-Angle-Side (AAS) Theorem

• Hypotenuse-Leg (HL) Theorem

Tags

CCSS.HSG.SRT.B.5

If 2 angles and the included side of 1 triangle is are congruent to 2 angles the included side of another triangle, then the triangles are congruent

• Side-Side-Side (SSS) Postulate

• Side-Angle-Side (SAS) Postulate

• Angle-Side-Angle (ASA) Postulate

• Angle-Angle-Side (AAS) Theorem

• Hypotenuse-Leg (HL) Theorem

Tags

CCSS.HSG.SRT.B.5

If 2 angles and the non-included side of 1 triangle are congruent to 2 angles the non-included side of another triangle, then the triangles are congruent

• Side-Side-Side (SSS) Postulate

• Side-Angle-Side (SAS) Postulate

• Angle-Side-Angle (ASA) Postulate

• Angle-Angle-Side (AAS) Theorem

• Hypotenuse-Leg (HL) Theorem

Tags

CCSS.HSG.SRT.B.5

If the hypothenuse and leg of 1 right triangle are congruent to the hypothenuse and a leg of another right triangle, then the triangles are congruent.

• Side-Side-Side (SSS) Postulate

• Side-Angle-Side (SAS) Postulate

• Angle-Side-Angle (ASA) Postulate

• Angle-Angle-Side (AAS) Theorem

• Hypotenuse-Leg (HL) Theorem

Tags

CCSS.HSG.SRT.B.5

Side opposite from the right angle

• Hypothenuse

• Legs