Triangles: Congruence Theorems: Practice 2

Section A: Core Practice

Question 1mcq

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

A.ASA

B.SSS

C.SAS

D.RHS

Question 2mcq

During a fraction problem on rhs congruence, in a parallelogram

ABCD

, which pair of opposite sides is equal?

A.

AB=BC

B.

AB=CD

C.

AC=BD

D.

\angle A=\angle B

Question 3mcq

In the arithmetic progression with first term

3

and common difference

3

, what is the

10^{th}

term?

A.

30

B.

33

C.

0

D.

6

Question 4mcq

During a solid problem on conditional congruence, in an isosceles triangle,

AB=AC

and

\angle B=70^\circ

. What is

\angle C

?

A.

110^\circ

B.

40^\circ

C.

55^\circ

D.

70^\circ

Question 5mcq

If two parallel lines are cut by a transversal and one pair of corresponding angles is

65^\circ

, what is the matching corresponding angle?

A.

90^\circ

B.

115^\circ

C.

65^\circ

D.

180^\circ

Section B: Application Practice

Question 6mcq

During a layout problem on isosceles triangle theorems, two triangles have two corresponding sides equal and the included angle equal. Which congruence criterion applies?

A.SSS

B.SAS

C.ASA

D.RHS

Question 7mcq

During a decimal problem on using congruence, in a parallelogram

ABCD

, which pair of opposite sides is equal?

A.

AB=CD

B.

AB=BC

C.

AC=BD

D.

\angle A=\angle B

Question 8mcq

During a workshop problem on aas congruence, which statement best describes a line segment?

A.A circle with a fixed radius

B.A line extending endlessly in both directions

C.A point with no size

D.A part of a line with two endpoints

Question 9mcq

During a triangle problem on rhs congruence, in an isosceles triangle,

AB=AC

and

\angle B=70^\circ

. What is

\angle C

?

A.

55^\circ

B.

40^\circ

C.

70^\circ

D.

110^\circ

Question 10mcq

What is the sum of the first

20

natural numbers?

A.

200

B.

210

C.

400

D.

190