Circles Practice 2: Lengths And Equal Tangents

Practise focused skills from Circles

MathematicsGrade 10Mixed10 questions20 min

Print / Save as PDF

Preview

Preview questions

Sample preview - start assignment to submit answers.

Focus question style

Section A: Right Triangle Lengths · 5 questionsSection B: Equal Tangents and Perimeters · 5 questions

Preview onlyStart free practice to answer.

Section A: Right Triangle Lengths

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

Choose the best answer for each question.

Question 1

MediumQuestion

From external point $P$ , tangent $PT$ touches a circle at $T$ . If $OP=13$ cm and radius $OT=5$ cm, find $PT$ .

Topic: Radius-Tangent Applications · Skill: Find lengths using right triangles

Question 2

AdvancedQuestion

A tangent from $P$ has length $24$ cm and the radius to the point of contact is $7$ cm. Find $OP$ .

Topic: Radius-Tangent Applications · Skill: Find lengths using right triangles

Question 3

EasyQuestion

If two tangents $PA$ and $PB$ are drawn from the same external point $P$ to a circle, what is true?

Topic: Equal Tangents Theorem · Skill: State equal tangents theorem

Question 4

MediumQuestion

Which theorem explains why two tangent segments from the same external point are equal?

Topic: Equal Tangents Theorem · Skill: State equal tangents theorem

Question 5

MediumQuestion

In proving equal tangents from external point $P$ , which triangle pair is usually shown congruent?

Topic: Equal Tangents Theorem · Skill: Prove equal tangents theorem

What this assignment covers

Use Pythagoras and equal tangent lengths in circle problems.

Skills and sections

Find lengths using right triangles, State equal tangents theorem, Prove equal tangents theorem, Find tangent lengths from an external point, Solve perimeter problems with tangents

Section A: Right Triangle Lengths: 5 questions
Section B: Equal Tangents and Perimeters: 5 questions