Easy Level Worksheet Questions

Part A: Subjective Questions

Note: Write the answers neatly on a sheet and submit them to your school subject teacher.

(1) What does "congruent" mean in geometry?

(2) Name the congruency rule when three sides are equal.

(3) Write the full form of CPCT.

(4) Which congruency rule applies if two sides and included angle are equal?

(5) If ΔABC ≅ ΔDEF, which side corresponds to AC?

(6) Which congruency criterion is used for right-angled triangles?

(7) In ΔXYZ, XY = YZ = ZX. Name the type of triangle.

(8) If ΔPQR ≅ ΔXYZ, which angle corresponds to ∠Q?

(9) Name a real-life example of congruent triangles.

(10) True or False: Two equilateral triangles with equal sides are congruent.

Drag each condition to its correct congruency rule:

(1) State the SSS rule of congruency.

(2) State the SAS rule of congruency.

(a) If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then triangles are

(3) In ΔABC and ΔPQR, AB = PQ, BC = QR, and CA = RP. Are they congruent? Name the rule.

(a) Yes, they are congruent by

(4) In ΔXYZ and ΔLMN, XY = LM, ∠Y = ∠M, and YZ = MN. Which rule applies?

(a) The rule that applies is

(5) Two triangles have three sides equal. Prove they are congruent.

(a) By SSS rule, if all three sides are equal, triangles are

(6) State the ASA rule of congruency.

(a) If two angles and the included side of one triangle equal two angles and included side of another, triangles are

(7) In right-angled triangles ΔABC and ΔPQR, hypotenuse and one side are equal. Name the rule.

(a) The rule is

(8) Write two real-life examples where congruency is used.

(a) Examples: and

(9) Name the criterion when two angles and included side are equal.

(a) The criterion is

(10) If ΔABC ≅ ΔPQR, list all pairs of equal sides.

(a) AB = , BC = , AC =

Test your understanding with these multiple choice questions:

1. If ΔABC has sides 5 cm, 6 cm, 7 cm, and ΔPQR has sides 7 cm, 6 cm, 5 cm, they are congruent by:

(a) ASA (b) SAS (c) SSS (d) RHS

Correct! All three sides are equal (in different order), so SSS rule applies.

2. Two equilateral triangles with equal sides are:

(a) Similar only (b) Congruent only (c) Both (d) Neither

Correct! They are both similar (same shape) and congruent (same size).

3. In SAS, the equal angle is:

(a) Included angle (b) Largest angle (c) Smallest angle (d) Any angle

Correct! In SAS, the angle must be between (included by) the two equal sides.

4. RHS rule applies only to:

(a) Acute triangles (b) Right triangles (c) Obtuse triangles (d) Equilateral triangles

Correct! RHS (Right angle-Hypotenuse-Side) applies only to right triangles.

5. SSS rule compares:

(a) Angles (b) Sides (c) Area (d) Height

Correct! SSS rule compares the three sides of triangles.