Geometry Homework - Lesson 4.3 Congruent Triangles

The definition of congruent polygons is that they have the

• same shape and same size
• same shape but sizes can be different
• same size but shape can be different
• same size

If two polygons are congruent (select all that apply)

• corresponding angles measures are equal
• angles have a sum of 360
• one set of angles is always half the measure of the other set of angles
• corresponding side measures are always all equal

Determine the pairs of angles that are congruent. Select all that apply.

• ∠A ≅ ∠T
• ∠D ≅ ∠P
• ∠G ≅ ∠K
• ∠A ≅ ∠K
• ∠G ≅ ∠T

Determine the pairs of sides that are congruent. Select all that apply.

• segment AD ≅ segment TP
• segment DG ≅ segment PK
• segment GA ≅ segment KT
• segment AG ≅ segment KP
• segment DG ≅ segment PT

Determine the congruence statement(s) that are true. Select all that apply.

• △ADG ≅ △TPK
• △DGA ≅ △PKT
• △GAD ≅ △KTP
• △ADG ≅ △KPT
• △AGD ≅ △PTK

Parallelogram ABCD is congruent to parallelogram WXYZ. Determine the value of x.

• 104
• 96
• 84
• 76

Parallelogram ABCD is congruent to parallelogram WXYZ. Determine the value of y.

• 45
• 35
• 55
• 40

Parallelogram ABCD is congruent to parallelogram WXYZ. Determine the value of z.

• 12.5
• 25
• 37.5
• 10

True or false: You can prove 2 triangles are congruent if all 3 sets of corresponding sides are congruent and you are given that all 3 sets of corresponding angles are congruent.

• true
• false

True or false: You can prove 2 triangles are congruent if all 3 sets of corresponding sides are congruent and you are given that 2 sets of corresponding angles are congruent, using the Third Angle Theorem.

• true
• false