Unit 2 Congruence Review

What is the definition of Rigid Motion

• a transformation

• the original figure and the figure after the transformation

• a special type of transformation that preserves the size and shape of the figure

• a mapping or movement of a plane and all points on that plane according to a common action or operation.

Tags

CCSS.HSG.CO.B.6

Which side corresponds with side

 $\overline{BC}$  ?

•  $\overline{SR}$  

•  $\overline{QP}$  

•  $\overline{QR}$  

•  $\overline{RQ}$  

Tags

CCSS.HSG.SRT.A.2

Select the correct congruence statement.

• $\Delta ABC\ \cong\ \Delta YZX$

• $\Delta ABC\ \cong\ \Delta XYZ$

• $\Delta ABC\ \cong\ \Delta ZYX$

Tags

CCSS.HSG.CO.B.7

Figures that are same size, same shape and same angles are...

• Congruent

• Image

• Angles

• Vertices

Parallelogram WXYZ and diagonal are shown in the diagram.

Which of the following statements BEST proves that ∠XWY ≌ ∠ZYW?

• If two parallel lines are cut by a transversal, then corresponding angles are congruent.

• If two parallel lines are cut by a transversal, then complementary angles are congruent.

• If two parallel lines are cut by a transversal, then alternate interior angles are congruent.

• If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.

Tags

CCSS.HSG.CO.C.11

What is the measure of the exterior angle in the diagram?

• 30º

• 70º

• 88º

• 100º

Tags

CCSS.8.G.A.5

Three transformations will be performed on triangle ABC. Which set of transformations will always produce a congruent triangle?

• dilation, rotation, translation

• reflection, dilation, translation

• rotation, reflection, dilation

• rotation, translation, reflection

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following methods would NOT be used to prove that two triangles are congruent?

• Prove all three sets of corresponding sides congruent.

• Prove all three sets of corresponding angles congruent.

• Prove that two sides and an included angle of one triangle are congruent to two sides and an included angle of the other triangle.

• Prove that two angles and an included side of one triangle are congruent to two angles and an included side of the other triangle.

Tags

CCSS.HSG.SRT.B.5

Triangle ABC is shown in the xy-coordinate plane.

The triangle will be rotated 180° clockwise around the point (3, 4) to create ∆A’B’C’. Which characteristics of ∆ABC will be the same for the corresponding characteristics of ∆A’B’C’? Select all that apply.

• The coordinates of A’ will be the same as A.

• The length of segment A’B’ will be the same as segment AB.

• The measure of ∠B’ will be the same as ∠B.

• The area of A’B’C’ will be the same as ∆ABC.

• The perimeter of A’B’C’ will be the same as ∆ABC.

Tags

CCSS.HSG.CO.A.2

Which parts must be congruent to prove ∆PQR ≌ ∆PSR by SAS?

• ∠Q ≌ ∠S and QP ≌ SP

• ∠Q ≌ ∠S and QR ≌ SR

• ∠QRP ≌ ∠SRP and QP ≌ SP

• ∠QPR ≌ ∠SPR and QP ≌ SP

Tags

CCSS.HSG.SRT.B.5