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Pythogoras Theorem and Angles (Basic)

Total questions: 15

Worksheet time: 44mins

Name
Class
Date
1.

In geometry, a hypotenuse is the ___________ side of a right-angled triangle, the side __________ to the right angle

a)

Shortest, next

b)

Right, perpendicular

c)

Longest, Opposite

d)

Shortest, Opposite

2.

Suppose a triangle with sides 10, 24, and 26 are given, which of these is the Hypotenuse?

a)

26

b)

10

c)

24

3.

Pythagoras theorem states that “In a right-angled Triangle __________________________________________"

a)

the sum hypotenuse side is equal to the sum of squares of the other two sides

b)

the hypotenuse side is equal to the other two sides

c)

the square of the hypotenuse side is not equal to the sum of squares of the other two sides

d)

the square of the hypotenuse side is equal to the sum of squares of the other two sides

4.

If ABC form a right-angled Triangle, recall the Pythogoras theorem and choose the right formula.

a)

c2 = a2 + b2

b)

b2 = c2 - a2

c)

b2 = (ac)2

d)

a2 = b2 + c2

5.

If a ladder leans against a tree at the height of 6 ft and the ground distance from the ladder to the tree is 8 ft, what is the height of the ladder?

a)

12

b)

14

c)

16

d)

10

6.

Formula: The area of the Triangle is = 1/2*base times height

(1/2*b*h)

a)

False

b)

True

7.

The Sum of the three angles of a Triangle is _____

a)

90°

b)

180°

c)

360°

d)

120°

8.

"MN ll OP". what does this mean?

a)

MN proportional to OP

b)

MN adjacent to OP

c)

MN perpendicular OP

d)

MN parallel to OP

9.

Alternate angles are equal.

a)

True

b)

False

10.

If <B = 120 and <D = 55, Then what is <A and <C ?

a)

<A = 120°, <C = 55°

b)

<A = 90°, <C = 90°

c)

<A = 55°, <C = 120°

11.

Observe the figure. In Triangle CBA, the bisector of <C meets at D. Now CD is the bisector of <C. If <C = 80°, what is <BCD and <ACD?

a)

<BCD = 40° <ACD = 40°

b)

<BCD = 50° <ACD = 30°

c)

<BCD = 30° <ACD = 50°

d)

<BCD = 60° <ACD = 40°

12.

An angle bisector divides an angle into two equal angles. So, to find where the angle bisctor lays, divide the number of degrees in the angle by ____. .

a)

3

b)

2

c)

the same angle

d)

4

13.

The two angles of a linear pair are always supplementary , which means their measures add up to _____.

a)

90°

b)

360°

c)

180°

d)

100°

14.

Observe the figure. How many linear pairs do you see?

a)

None

b)

2

c)

1

d)

3

15.

The height of a house and a bush nearby together form a triangle BPQ and BAD. Find 'x' and 'y' given in the image.

a)

x = 5, y = 6

b)

x = 4/3, y = 5

c)

x = 5, y = 10

d)

x = 5, y = 6/5