Congruence and Similarity
Math ⇒ Geometry
Congruence and Similarity starts at 7 and continues till grade 12.
QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Congruence and Similarity.
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See sample questions for grade 9
Describe a real-life situation where similar triangles can be used to find the height of an object.
Explain the difference between congruent and similar figures.
Explain why the AAA criterion is not sufficient for triangle congruence.
Given △ABC and △DEF, if AB = DE, BC = EF, and ∠B = ∠E, are the triangles congruent?
Given △ABC and △DEF, if AB = DE, BC = EF, and ∠B = ∠E, are the triangles congruent?
Given two rectangles, one with sides 4 cm and 6 cm, and another with sides 8 cm and 12 cm. Are the rectangles similar?
Given two similar triangles, if the ratio of their corresponding sides is 5:7, what is the ratio of their areas?
Given two triangles, △PQR and △XYZ, with PQ = 6 cm, QR = 8 cm, PR = 10 cm, and XY = 9 cm, YZ = 12 cm, XZ = 15 cm. Are the triangles similar?
If △ABC ≅ △DEF, which of the following must be true? (1) AB = DE (2) ∠A = ∠D (3) BC = EF (4) All of the above
Which of the following is a correct similarity criterion for triangles? (1) SSS (2) SAS (3) ASA (4) All of the above
Which of the following is a correct statement about congruent triangles? (1) They have equal corresponding sides and angles. (2) They have proportional sides. (3) They have equal areas but not necessarily equal sides. (4) They have equal perimeters but not necessarily equal angles.
Which of the following is a property of similar triangles? (1) Corresponding angles are equal (2) Corresponding sides are equal (3) Corresponding sides are proportional (4) Both (1) and (3)
Fill in the blank: If two polygons are similar, then the ratio of their perimeters is equal to the ratio of their ________.
Fill in the blank: If two triangles are congruent, then their corresponding ________ are equal.
Fill in the blank: If two triangles have all three sides equal, then the triangles are ________.
Fill in the blank: If two triangles have two pairs of equal corresponding angles, the triangles are ________.
True or False: All congruent figures are also similar.
True or False: All equilateral triangles are similar to each other.
True or False: If two triangles have all corresponding sides proportional, they are similar.
True or False: If two triangles have two pairs of equal corresponding angles, the triangles are congruent.
