Congruency & Similarity - An Introduction​ Practice 1

This section features four carefully selected practice questions that sharpen students’ understanding and strengthen their mastery of key concepts in the Congruency and Similarity chapter.

Related Lessons:
  1. S2 Congruency & Similarity Introduction
  2. S2 Congruency & Similarity Introduction Practice 2

Practice 1 - Question 1

In the figure above, triangle ABC and EDF are congruent. Find
  1. \(\angle BAC\)
  2. the length of AD

Practice 1 - Question 2

In the figure, \(\triangle X’Y’Z’\) is enlarged by a scale factor k, to form \(\triangle XYZ\). Given that XY=10.5cm, Y’Z’=10.2 cm and X’Y’=7cm, find
  1. the scale factor, k of the enlargement,
  2. the area of the shaded region to the nearest whole number.

Practice 1 - Question 3

In the diagram. ABCD is a square. Points P, Q, R and S lie on AB, BC, CD and DA so that AP=BQ=CR=DS. Name 2 triangles that are congruent to \(\triangle SAP\).

Practice 1 - Question 4

In the figure, triangle ABC and DBE are similar, where \(\angle ACB=\angle DEB\). Find
  1. the length of AC
  2. the length of CD
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Related Lessons:

  1. S2 Congruency & Similarity Introduction
  2. S2 Congruency & Similarity Introduction Practice 2

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