Congruent Figures Assignment and Quiz

Triangle CDE is translated down and to the right, forming triangle C'D'E'. Which congruency statement is correct?

ΔDCE ≅ ΔD'C'E'

Triangle DEF is reflected over the y-axis, and then translated down 4 units and right 3 units. Which congruency statement describes the figures?

ΔDEF ≅ ΔSRU

Rectangle ABCD is congruent to rectangle HGJK. What is the area of rectangle ABCD?

198 square inches

Triangle TRS is rotated about point X, resulting in triangle BAC. If AB = 10 ft, AC = 14 ft, and BC = 20 ft, what is RS?

14 ft

Two quadrilaterals are congruent. One has vertices P, N, O, and M, and the other has vertices S, T, V, and U. These corresponding congruent parts are known: OM ≅ TS ∠P ≅ ∠U Which congruency statements could be correct for the figures? Check all that apply.

NPOM ≅ VUTS OPNM ≅ TUVS

In ΔCDE, m∠C = 30° and m∠E = 50°. In ΔFGH, m∠G = 100° and m∠H = 50°. Are the triangles congruent? If so, write a congruency statement.

No, the triangles are not necessarily congruent.

Three figures exist such that ABCD ≅ GHIJ and BCDA ≅ RSTU. If GH = 6 cm, HI = 8 cm, IJ = 10 cm, and GJ = 9 cm, what is TS?

10 cm

In the diagram, △ABC ≅ △WRS. What is the perimeter of △WRS?

12 units

Are rectangles ABCD and WXYZ congruent? Why or why not?

No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

Triangle XYZ was translated up 2 and right 3 units, creating triangle CAB. Which relationship between the parts of the two triangles must be true?

YZ ≅ AB

Rectangle ABCD is congruent to rectangle URST. What is the area of rectangle URST?

135 sq. mm

Quadrilateral ABCD is reflected over line y as shown, resulting in quadrilateral TURS. If AD 5 in., AB = 7 in., DC = 4 in., and BC = 9 in., what is TU?

7 in.

ΔCDE was translated down and right to form triangle ΔC′D′E′. Which statements are true? Check all that apply.

DE ≅ D′E′ EC ≅ E′C′ D′C′ ≅ DC ΔCDE ≅ ΔC′D′E′

ΔXYZ was reflected to form ΔLMN. Which statements are true regarding the diagram? Check all that apply.

ΔXYZ ≅ ΔLMN ∠Y ≅ ∠M ∠X ≅ ∠L XZ ≅ LN

Trapezoid CDEF was reflected across the x-axis followed by a 90° rotation about the origin to create the other trapezoid shown on the graph. Which congruency statement applies to the trapezoids?

CDEF ≅ NMOP

In the diagram, ΔPMN ≅ ΔQSR. If QR = 20 in., RS = 7 in., and SQ = 24 in., what is PN?

20 in

Cameron makes a quilt design using four congruent triangles as shown below. What is the perimeter of the entire design?

64 cm

Given that ΔJKL ≅ ΔUVW and ΔUVW ≅ ΔABC, complete the following statements. Triangle JKL is congruent to triangle ____________. Side LK corresponds to sides ____________. Angle JLK corresponds to angles ____________

ABC WV and CB UWV and ACB

Quadrilateral ABCD is rotated 145° about point T. The result is quadrilateral A'B'C'D'. Which congruency statement is correct?

ABCD ≅ A'B'C'D'

In the diagram, ΔGHJ ≅ ΔSTU. What are the missing measures in the diagram? m∠J = __° m∠T = __° m∠G = __° ST = __cm HJ = __cm

67 67 46 5 3.7