Triangles Practice 3: Applications, Proofs And Error Analysis

Practise focused skills from Triangles

MathematicsGrade 10Mixed10 questions20 min

Print / Save as PDF

Preview

Preview questions

Sample preview - start assignment to submit answers.

Focus question style

Section A: Applications · 5 questionsSection B: Proof and Misconception Checks · 5 questions

Preview onlyStart free practice to answer.

Section A: Applications

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

Choose the best answer for each question.

Question 1

MediumQuestion

If $\triangle ABC\sim\triangle PQR$ , $AB=8$ cm, $PQ=12$ cm and $BC=10$ cm, find $QR$ .

Topic: Similarity Applications · Skill: Find unknown sides in similar triangles

Question 2

AdvancedQuestion

Two similar triangles have perimeters $36$ cm and $54$ cm. If a side of the smaller triangle is $8$ cm, what is the corresponding side of the larger triangle?

Topic: Similarity Applications · Skill: Find unknown sides in similar triangles

Question 3

MediumQuestion

A $1.5$ m student casts a $2$ m shadow. At the same time, a pole casts an $8$ m shadow. What is the pole height?

Topic: Similarity Applications · Skill: Use similarity in indirect measurement

Question 4

AdvancedQuestion

A ramp forms a small triangle with rise $0.6$ m and base $1.8$ m. A similar larger ramp has base $4.5$ m. What is its rise?

Topic: Similarity Applications · Skill: Use similarity in indirect measurement

Question 5

EasyQuestion

Which is the best first step in a structured similarity proof?

Topic: Proof Writing · Skill: Write structured triangle similarity proofs

What this assignment covers

Solve similarity applications, indirect measurement problems and correspondence errors.

Skills and sections

Find unknown sides in similar triangles, Use similarity in indirect measurement, Write structured triangle similarity proofs, Avoid wrong correspondence in similarity, Apply BPT to find missing lengths

Section A: Applications: 5 questions
Section B: Proof and Misconception Checks: 5 questions