Triangles: Congruence Theorems: Practice 2

Practise focused skills from Triangles: Congruence Theorems

MathematicsGrade 9Mixed10 questions20 min

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Section A: Core Practice · 5 questionsSection B: Application Practice · 5 questions

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Section A: Core Practice

Build the core ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

MediumQuestion

During a blueprint problem on aas congruence, two triangles have two corresponding sides equal and the included angle equal. Which congruence criterion applies?

Topic: AAS Congruence · Skill: Apply AAS congruence criterion

Question 2

MediumQuestion

During a fraction problem on rhs congruence, in a parallelogram $ABCD$ , which pair of opposite sides is equal?

Topic: RHS Congruence · Skill: Apply RHS congruence criterion

Question 3

MediumQuestion

In the arithmetic progression with first term $3$ and common difference $3$ , what is the $10^{th}$ term?

Topic: Invalid Congruence Patterns · Skill: Explain why SSA is not generally valid

Question 4

MediumQuestion

During a solid problem on conditional congruence, in an isosceles triangle, $AB=AC$ and $\angle B=70^\circ$ . What is $\angle C$ ?

Topic: Conditional Congruence · Skill: Identify cases where SSA becomes valid

Question 5

AdvancedQuestion

If two parallel lines are cut by a transversal and one pair of corresponding angles is $65^\circ$ , what is the matching corresponding angle?

Topic: Isosceles Triangle Theorems · Skill: Prove base angles of an isosceles triangle are equal

What this assignment covers

Progressive Grade 9 Math practice for AAS Congruence to Using Congruence.

Skills and sections

Apply AAS congruence criterion, Apply RHS congruence criterion, Explain why SSA is not generally valid, Identify cases where SSA becomes valid, Prove base angles of an isosceles triangle are equal

Section A: Core Practice: 5 questions
Section B: Application Practice: 5 questions