G8 Module 9 Practices : Congruency and Similarity

Describe a congruence transformation that maps quadrilateral PQRS onto quadrilateral WXYZ.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which pair of figures are congruent after a 180° rotation about the origin?

• triangle EFG and triangle QRS

• triangle MNP and triangle TUV

• triangle EFG and triangle UTV

• rectangle HJKL and rectangle ABCD

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Triangle ABC is congruent to triangle DEF. Complete the statement about the congruence transformation that maps triangle ABC to triangle DEF.

A reflection across the line y = x, followed by a translation _____

• left 1

• right 1

• up 5

• down 5

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Triangle DEF has vertices D(0,2), E(2,4), and F(4,0). Graph the image of the triangle after a reflection across the x-axis, followed by a dilation by a scale factor of 1.5.

Tags

CCSS.8.G.A.3

In the figure, ΔQRU ≅ ΔRST ≅ ΔTUR.

Travis claims that line segment QS is twice as long as line segment QR. Is Travis correct?

Explain why in your answer

Tags

CCSS.HSG.CO.C.10

In the diagram, △ABC≅△DEF. Find the perimeter of triangle ABC.

Mathematical Equivalence

ON

Tags

CCSS.HSG.CO.B.7

In the figure shown, △RST≅△JMP.

Indicate whether each of the following statements is correct regarding the congruency of these triangles.

Tags

CCSS.HSG.CO.B.7

The following triangles represent rafters in a building. If m∠Z=55° and m∠U=65°, what is the measure of ∠YXZ?

Mathematical Equivalence

ON

Tags

CCSS.8.G.A.5

If △ABC≅△JKL, which of the following must be a true congruence statement?

• ∠A≅∠K

• ∠B≅∠L

• AB⎯⎯⎯⎯⎯≅JK

• △BAC≅△LKJ

Tags

CCSS.HSG.CO.B.7

Are the triangles similar?

• Similar

• Not Similar

Tags

CCSS.HSG.SRT.A.2