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Printable assignment

A Tale of Three Intersecting Lines Final Assessment

Core Concepts

Question 1mcq
A triangle has side lengths 8 cm, 8 cm and 8 cm. How is it classified by sides?
A.equilateral
B.scalene
C.right-angled
D.isosceles
Question 2mcq
A triangle has side lengths 9 cm, 9 cm and 8 cm. How is it classified by sides?
A.isosceles
B.equilateral
C.scalene
D.right-angled
Question 3mcq
A triangle has side lengths 8 cm, 8 cm and 9 cm. How is it classified by sides?
A.equilateral
B.isosceles
C.scalene
D.right-angled
Question 4mcq
A triangle has side lengths 9 cm, 9 cm and 9 cm. How is it classified by sides?
A.equilateral
B.scalene
C.isosceles
D.right-angled
Question 5mcq
A triangle has side lengths 8 cm, 8 cm and 7 cm. How is it classified by sides?
A.equilateral
B.scalene
C.right-angled
D.isosceles
Question 6mcq
A triangle has side lengths 9 cm, 9 cm and 7 cm. How is it classified by sides?
A.isosceles
B.equilateral
C.scalene
D.right-angled
Question 7mcq
Two angles of a triangle are 44∘44^\circ and 65∘65^\circ. What is the third angle?
A.109∘109^\circ
B.71∘71^\circ
C.119∘119^\circ
D.19∘19^\circ
Question 8mcq
Two angles of a triangle are 44∘44^\circ and 70∘70^\circ. What is the third angle?
A.114∘114^\circ
B.124∘124^\circ
C.66∘66^\circ
D.24∘24^\circ

Skill Practice

Question 9mcq
Two angles of a triangle are 45∘45^\circ and 65∘65^\circ. What is the third angle?
A.110∘110^\circ
B.120∘120^\circ
C.20∘20^\circ
D.70∘70^\circ
Question 10mcq
Two angles of a triangle are 45∘45^\circ and 70∘70^\circ. What is the third angle?
A.65∘65^\circ
B.115∘115^\circ
C.125∘125^\circ
D.25∘25^\circ
Question 11mcq
Two angles of a triangle are 46∘46^\circ and 65∘65^\circ. What is the third angle?
A.111∘111^\circ
B.69∘69^\circ
C.121∘121^\circ
D.21∘21^\circ
Question 12mcq
Two angles of a triangle are 46∘46^\circ and 70∘70^\circ. What is the third angle?
A.116∘116^\circ
B.126∘126^\circ
C.64∘64^\circ
D.26∘26^\circ
Question 13mcq
Two sides of a triangle are 6 cm and 8 cm. What must be true about the third side?
A.greater than 14 cm
B.less than 2 cm
C.exactly 14 cm
D.greater than 2 cm and less than 14 cm
Question 14mcq
Two sides of a triangle are 7 cm and 8 cm. What must be true about the third side?
A.greater than 1 cm and less than 15 cm
B.greater than 15 cm
C.less than 1 cm
D.exactly 15 cm
Question 15mcq
Two sides of a triangle are 6 cm and 5 cm. What must be true about the third side?
A.greater than 11 cm
B.greater than 1 cm and less than 11 cm
C.less than 1 cm
D.exactly 11 cm
Question 16mcq
Two sides of a triangle are 7 cm and 5 cm. What must be true about the third side?
A.greater than 12 cm
B.less than 2 cm
C.greater than 2 cm and less than 12 cm
D.exactly 12 cm

Application and Reasoning

Question 17mcq
Two sides of a triangle are 6 cm and 6 cm. What must be true about the third side?
A.greater than 12 cm
B.less than 0 cm
C.exactly 12 cm
D.greater than 0 cm and less than 12 cm
Question 18mcq
Two sides of a triangle are 7 cm and 6 cm. What must be true about the third side?
A.greater than 1 cm and less than 13 cm
B.greater than 13 cm
C.less than 1 cm
D.exactly 13 cm
Question 19mcq
Which information always gives a unique triangle construction?
A.only one angle
B.three side lengths satisfying triangle inequality
C.two side lengths only
D.three random angles with no side
Question 20mcq
Which information always gives a unique triangle construction?
A.only one angle
B.two side lengths only
C.three side lengths satisfying triangle inequality
D.three random angles with no side
Question 21mcq
Which information always gives a unique triangle construction?
A.only one angle
B.two side lengths only
C.three random angles with no side
D.three side lengths satisfying triangle inequality
Question 22mcq
Which information always gives a unique triangle construction?
A.three side lengths satisfying triangle inequality
B.only one angle
C.two side lengths only
D.three random angles with no side
Question 23mcq
Which information always gives a unique triangle construction?
A.only one angle
B.three side lengths satisfying triangle inequality
C.two side lengths only
D.three random angles with no side
Question 24mcq
Which information always gives a unique triangle construction?
A.only one angle
B.two side lengths only
C.three side lengths satisfying triangle inequality
D.three random angles with no side

Mixed Challenge

Question 25mcq
A triangle has side lengths 10 cm, 10 cm and 8 cm. How is it classified by sides?
A.equilateral
B.isosceles
C.scalene
D.right-angled
Question 26mcq
A triangle has side lengths 10 cm, 10 cm and 9 cm. How is it classified by sides?
A.equilateral
B.scalene
C.right-angled
D.isosceles
Question 27mcq
A triangle has side lengths 10 cm, 10 cm and 7 cm. How is it classified by sides?
A.equilateral
B.isosceles
C.scalene
D.right-angled
Question 28mcq
Two angles of a triangle are 44∘44^\circ and 75∘75^\circ. What is the third angle?
A.119∘119^\circ
B.129∘129^\circ
C.29∘29^\circ
D.61∘61^\circ
Question 29mcq
Two angles of a triangle are 45∘45^\circ and 75∘75^\circ. What is the third angle?
A.120∘120^\circ
B.60∘60^\circ
C.130∘130^\circ
D.30∘30^\circ
Question 30mcq
Two angles of a triangle are 46∘46^\circ and 75∘75^\circ. What is the third angle?
A.121∘121^\circ
B.131∘131^\circ
C.31∘31^\circ
D.59∘59^\circ