Triangles Practice 2: BPT And Similarity Criteria

Practise focused skills from Triangles

MathematicsGrade 10Mixed10 questions20 min

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Section A: BPT Applications · 5 questionsSection B: Similarity Criteria · 5 questions

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Section A: BPT Applications

Build and apply the key ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

MediumQuestion

In $\triangle ABC$ , $DE\parallel BC$ , $D$ lies on $AB$ , $E$ lies on $AC$ , $AD=3$ cm, $DB=6$ cm and $AE=4$ cm. Find $EC$ .

Topic: BPT Applications · Skill: Apply BPT to find missing lengths

Question 2

AdvancedQuestion

A side of a triangle is cut by a line parallel to the base. On one side the parts are $5$ cm and $10$ cm. On the other side the smaller part is $7$ cm. What is the larger part?

Topic: BPT Applications · Skill: Apply BPT to find missing lengths

Question 3

MediumQuestion

In $\triangle ABC$ , $D$ is on $AB$ and $E$ is on $AC$ . If $AD=4$ , $DB=6$ , $AE=6$ and $EC=9$ , what can be concluded?

Topic: Converse of BPT · Skill: Use converse of BPT

Question 4

AdvancedQuestion

A student wants to prove $DE\parallel BC$ using converse of BPT. Which evidence is enough?

Topic: Converse of BPT · Skill: Use converse of BPT

Question 5

EasyQuestion

Which information is enough to prove two triangles similar by AA?

Topic: AA Similarity · Skill: Prove triangles similar using AA criterion

What this assignment covers

Apply BPT and prove similarity using AA, SSS and SAS criteria.

Skills and sections

Apply BPT to find missing lengths, Use converse of BPT, Prove triangles similar using AA criterion, Prove triangles similar using SSS criterion, Prove triangles similar using SAS criterion

Section A: BPT Applications: 5 questions
Section B: Similarity Criteria: 5 questions