8th grade Ch 7 L2

Which of the following correctly lists the congruence statements for the corresponding parts of △RST and △UVW, and identifies the transformation(s) that map △RST onto △UVW?

• RS ≅ UV, ST ≅ VW, RT ≅ UW; the transformation is a reflection.

• RS ≅ VW, ST ≅ UW, RT ≅ UV; the transformation is a rotation.

• RS ≅ RT, ST ≅ RS, RT ≅ ST; the transformation is a translation.

• RS ≅ UW, ST ≅ UV, RT ≅ VW; the transformation is a dilation.

Write congruence statements comparing the corresponding parts in each set of congruent figures. (Refer to the diagram with triangles MNS and OVT.)

• MN ≅ OV, NS ≅ VT, MS ≅ OT; ∠M ≅ ∠O, ∠N ≅ ∠V, ∠S ≅ ∠T

• MN ≅ VT, NS ≅ OV, MS ≅ OT; ∠M ≅ ∠V, ∠N ≅ ∠O, ∠S ≅ ∠T

• MN ≅ OT, NS ≅ OV, MS ≅ VT; ∠M ≅ ∠T, ∠N ≅ ∠O, ∠S ≅ ∠V

• MN ≅ OV, NS ≅ OT, MS ≅ VT; ∠M ≅ ∠O, ∠N ≅ ∠T, ∠S ≅ ∠V

Parallelograms UVWX and HJIK are congruent. Write congruence statements comparing the corresponding parts. Then determine which transformation(s) map parallelogram UVWX onto parallelogram HJIK.

• UV ≅ HJ, VW ≅ JK, WX ≅ KI, XU ≅ IH; ∠U ≅ ∠H, ∠V ≅ ∠J, ∠W ≅ ∠K, ∠X ≅ ∠I. The transformation is a translation.

• UV ≅ JK, VW ≅ KI, WX ≅ IH, XU ≅ HJ; ∠U ≅ ∠J, ∠V ≅ ∠K, ∠W ≅ ∠I, ∠X ≅ ∠H. The transformation is a reflection.

• UV ≅ KI, VW ≅ IH, WX ≅ HJ, XU ≅ JK; ∠U ≅ ∠K, ∠V ≅ ∠I, ∠W ≅ ∠H, ∠X ≅ ∠J. The transformation is a rotation.

• UV ≅ IH, VW ≅ HJ, WX ≅ JK, XU ≅ KI; ∠U ≅ ∠I, ∠V ≅ ∠H, ∠W ≅ ∠J, ∠X ≅ ∠K. The transformation is a dilation.

In the umbrella shown at the right, △JLK ≅ △NLM. a. If m∠JKL = 66°, then m∠NML = _________.

• 66°

• 54°

• 72°

• 80°

In the umbrella shown at the right, △JLK ≅ △NLM. If MN = 15 inches, then KJ = ________ inches.

• 15

• 10

• 20

• 12

In the figure, △ABC ≅ △EBD. Identify the corresponding parts that should be marked with arcs and tic marks on the figure.

• AB ≅ EB, AC ≅ ED, BC ≅ BD

• AB ≅ BD, AC ≅ EB, BC ≅ ED

• AB ≅ ED, AC ≅ BD, BC ≅ EB

• AB ≅ AC, AC ≅ BC, BC ≅ AB

In the figure, △ABC ≅ △EBD. Find the value of x.

• x = 6

• x = 8

• x = 10

• x = 12

In the figure at the right, △EFG ≅ △LMN. Find the value of x. Then describe the transformations that map △EFG onto △LMN.

• x = 9; The transformation is a translation.

• x = 7; The transformation is a reflection.

• x = 12; The transformation is a rotation.

• x = 5; The transformation is a dilation.

Write congruence statements comparing the corresponding parts in each set of congruent figures for the given diagram (triangle SZY and triangle TYW). Use the matching arcs and tick marks to identify the corresponding parts.

• ∠S ≅ ∠Y, ∠SZY ≅ ∠TYW, ∠Z ≅ ∠W; SZ ≅ YW, ZT ≅ WT, TS ≅ TY.

• ∠S ≅ ∠T, ∠SZY ≅ ∠YWZ, ∠Z ≅ ∠Y; SZ ≅ TW, ZT ≅ YW, TS ≅ SW.

• ∠S ≅ ∠W, ∠SZY ≅ ∠TSY, ∠Z ≅ ∠T; SZ ≅ YT, ZT ≅ SW, TS ≅ YW.

• ∠S ≅ ∠Z, ∠SZY ≅ ∠WYT, ∠Z ≅ ∠S; SZ ≅ TY, ZT ≅ YW, TS ≅ WT.

Quadrilaterals KLMN and FGHJ are congruent. Write congruence statements comparing the corresponding parts. Then determine which transformation(s) map quadrilateral KLMN onto quadrilateral FGHJ.