Geometry Test

Result

Geometry Test - 2

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Question 1
1 / -0

An angle that is greater than 180° but less than 360° is called a/an

A
acute angle

B
obtuse angle

C
reflex angle

D
straight angle

Solution

An angle that is greater than 180° but less than 360° is called a reflex angle.
Question 2
1 / -0

Identify the type of angle in given figure.

A
Acute angle

B
Obtuse angle

C
Reflex angle

D
Straight angle

Solution

The given angle is a reflex angle because it is greater than 180° and less than 360°.
Question 3
1 / -0

Complementary angles together make a/an

A
acute angle

B
obtuse angle

C
reflex angle

D
right angle

Solution

Complementary angles together make a right angle. For example, 40° + 50° = 90°
Question 4
1 / -0

The angle in the given figure is

A
greater than a right angle

B
equal to a right angle

C
less than a right angle

D
none of these

Solution

A right angle looks like the corner of a square.

∴ The given angle is greater than a right angle.
Question 5
1 / -0

The angle in the given figure is

A
greater than a right angle

B
equal to a right angle

C
less than a right angle

D
none of these

Solution

The given angle is greater than a right angle, i.e. greater than 90°.
Question 6
1 / -0

The angle in the given figure is

A
greater than a right angle

B
equal to a right angle

C
less than a right angle

D
none of these

Solution

The given angle is less than 90°.
Question 7
1 / -0

If AB || CD and E is the transversal, find the measure of x.

A
50°

B
100°

C
130°

D
150°

Solution

Now, y = 50° (Vertically opposite angles)
Now, x + y = 180° (Sum of interior angles on the same side of a transversal is 180°)
x + 50° = 180°
x = 180° – 50° = 130°
Question 8
1 / -0

If AB || CD and PS is the transversal, find the measure of x.

A
130°

B
150°

C
50°

D
100°

Solution

Now, y + 50° = 180° (Linear pair)
y = 130°
Now, AB || CD and PS is the transversal.
∴ x = y (Alternate exterior angles)
∴ x = 130°
Question 9
1 / -0

If two parallel lines are cut by a transversal, then the _____ are equal.

A
corresponding angles

B
alternate interior angles

C
alternate exterior angles

D
all of the above

Solution

If two parallel lines are cut by a transversal, then the corresponding angles, alternate interior angles and alternate exterior angles are equal.
Question 10
1 / -0

If AB || CD and EF is the transversal, find the measure of z.

A
80°

B
100°

C
120°

D
150°

Solution

AB || CD and EF is the transversal.
∴ z = 100° (Alternate interior angles)
Question 11
1 / -0

If AB || CD and EF is the transversal, then find the measure of x.

A
40°

B
140°

C
180°

D
120°

Solution

AB || CD and EF is the transversal.
∴ x = 40° (Corresponding angles)
Question 12
1 / -0

Which of the following is an obtuse angle?

A
A = 30°

B
B = 60°

C
P = 90°

D
R = 92°

Solution

61 R = 92° which is greater than 90° and less than 180°.
90° < R < 180°
So, R is an obtuse angle.
Question 13
1 / -0

An obtuse angle is always

A
less than 90°

B
equal to 90°

C
greater than 180° and less than 360°

D
greater than 90° and less than 180°

Solution

An obtuse angle is always greater than 90° and less than 180°.
Question 14
1 / -0

Which of the following measures represents an obtuse angle?

A
45°

B
90°

C
105°

D
270°

Solution

105° is an obtuse angle as it is more than 90° and less than 180°.
Question 15
1 / -0

Which of the following measures represents an acute angle?

A
62°

B
90°

C
95°

D
185°

Solution

So, 62° is the answer.