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Homework Practice

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Triangles: Congruence Theorems: Practice 1

Section A: Core Practice

Question 1mcq
During a tiling problem on triangle rigidity, two triangles have two corresponding sides equal and the included angle equal. Which congruence criterion applies?
A.SAS
B.SSS
C.ASA
D.RHS
Question 2mcq
During a equation problem on congruence basics, in a parallelogram ABCDABCD, which pair of opposite sides is equal?
A.∠A=∠B\angle A=\angle B
B.AB=BCAB=BC
C.AC=BDAC=BD
D.AB=CDAB=CD
Question 3mcq
During a festival problem on congruence basics, which statement best describes a line segment?
A.A point with no size
B.A line extending endlessly in both directions
C.A part of a line with two endpoints
D.A circle with a fixed radius
Question 4mcq
During a logic problem on congruence notation, in an isosceles triangle, AB=ACAB=AC and ∠B=70∘\angle B=70^\circ. What is ∠C\angle C?
A.40∘40^\circ
B.70∘70^\circ
C.55∘55^\circ
D.110∘110^\circ
Question 5mcq
If two parallel lines are cut by a transversal and one pair of corresponding angles is 65∘65^\circ, what is the matching corresponding angle?
A.65∘65^\circ
B.115∘115^\circ
C.90∘90^\circ
D.180∘180^\circ

Section B: Application Practice

Question 6mcq
During a surveying problem on sss congruence, two triangles have two corresponding sides equal and the included angle equal. Which congruence criterion applies?
A.RHS
B.SSS
C.ASA
D.SAS
Question 7mcq
During a realnumber problem on asa congruence, in a parallelogram ABCDABCD, which pair of opposite sides is equal?
A.AC=BDAC=BD
B.AB=BCAB=BC
C.AB=CDAB=CD
D.∠A=∠B\angle A=\angle B
Question 8mcq
During a diagram problem on triangle rigidity, which statement best describes a line segment?
A.A line extending endlessly in both directions
B.A part of a line with two endpoints
C.A point with no size
D.A circle with a fixed radius
Question 9mcq
During a pattern problem on congruence basics, in an isosceles triangle, AB=ACAB=AC and ∠B=70∘\angle B=70^\circ. What is ∠C\angle C?
A.70∘70^\circ
B.40∘40^\circ
C.55∘55^\circ
D.110∘110^\circ
Question 10mcq
If two parallel lines are cut by a transversal and one pair of corresponding angles is 65∘65^\circ, what is the matching corresponding angle?
A.180∘180^\circ
B.115∘115^\circ
C.90∘90^\circ
D.65∘65^\circ