Congruent Figures Quiz

Name:

Date:

📚 Part 1: Learning Goals & Multiple Choice

I can: Identify congruent figures and justify congruence using SSS, SAS, ASA, or transformations (translation, rotation, reflection).

Success criteria: I can name the transformation that maps one figure to another and state the congruence reason in one sentence.

Differentiation: Readers who need support can use finger-tracing or colored overlays; provide step-by-step hints and one-on-one modeling.

Extension: Prove congruence using a coordinate proof or compose two transformations to map figures.

Dyslexia-friendly options: Read questions aloud, increase line spacing, or use a colored ruler to track lines of text.

1. Which pair of figures must be congruent?

Two triangles with side lengths 5, 7, 8 and 5, 7, 8 (corresponding).

Two rectangles with dimensions 3×6 and 4×5.

A triangle and a scaled copy of it with scale factor 2.

Two squares with side lengths 3 and 4.

2. Which congruence postulate justifies congruence if two sides and the included angle are equal?

SSS

SAS

ASA

AAS

3. True or False: A translation always produces a congruent figure.

True

False

4. Which transformation does NOT always produce congruent figures?

Rotation

Reflection

Dilation (scale factor ≠ 1)

Translation

5. Check all that apply: Which operations preserve congruence?

Translation

Rotation

Reflection

Dilation with scale factor 2

✏️ Part 2: Short Answers & Tasks

6. Match each pair of triangles to the congruence reason (write A, B, or C).

1. ΔABC and ΔPQR: AB=6, BC=7, AC=9; PQ=6, QR=7, PR=9

2. ΔDEF and ΔGHI: DE=4, EF=5, ∠E = ∠H (between DE and EF equals between GH and HI)

3. ΔJKL and ΔMNO: ∠J = ∠M, ∠K = ∠N, side JK = MN

A. ASA

B. SSS

C. SAS

7. Coordinate translation: Triangle A(0,0), B(4,0), C(0,3) is translated 2 units right and 1 unit up. List the new coordinates and state whether the image is congruent to the original. Explain in one sentence.

8. Draw: On graph paper, reflect triangle with vertices (1,1), (3,1), (1,4) across the y-axis. Sketch the reflected triangle and label its vertices. (Use the box below for your sketch.)

9. Explain: Does a dilation with scale factor 1.5 produce a congruent figure? Explain why or why not and give one real-world example where such a dilation would be used.