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.

In the table design shown in Example 3, suppose BE = 18 inches. What is DG?

• 18 inches

• 12 inches

• 24 inches

• 9 inches

The coordinate plane can help you determine that corresponding sides are congruent by:

• comparing the lengths of sides using the distance formula

• counting the number of grid squares between points

• estimating the lengths by eye

• using only the coordinates of one endpoint

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

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

• AB ≅ GF, BC ≅ FJ, AC ≅ GJ; ∠A ≅ ∠G, ∠B ≅ ∠F, ∠C ≅ ∠J

• AB ≅ GJ, BC ≅ GF, AC ≅ FJ; ∠A ≅ ∠F, ∠B ≅ ∠J, ∠C ≅ ∠G

• AB ≅ FJ, BC ≅ AC, AC ≅ GF; ∠A ≅ ∠J, ∠B ≅ ∠G, ∠C ≅ ∠F

• AB ≅ AC, BC ≅ GJ, AC ≅ FJ; ∠A ≅ ∠F, ∠B ≅ ∠G, ∠C ≅ ∠J

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