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Week 4 Assessment

Total questions: 20

Worksheet time: 50mins

Name
Class
Date
1.
Which is the Pythagorean theorem?
a)
√(x-x)²-(y-y)²
b)
(y-y)/(x-x)
c)
a²+b²=c²
d)
a + b = c
2.

Find the value of x.


x = (a)  

3.
Find the value of x.
a)
√33
b)
√29
c)
√35
d)
√41
4.
Find the value of x.
a)
2√5
b)
3√5
c)
4√5
d)
10√5
5.
Does the set of numbers represent a Pythagorean Triple.
10, 24, 26
a)
Yes
b)
No
6.
Do the sides 15, 30 and 34 make a right triangle?
a)
yes
b)
no
7.
Does the set of numbers represent a Pythagorean Triple.
15, 20, 25
a)
Yes
b)
No
8.

The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?

11, 12, 15

(a)  

9.

What type of triangle do these measurements make: 6, 8, 12

(a)  

10.

Which is the length of v in this 30-60-90 triangle?

a)

434\sqrt{3}

b)

4

c)

8

d)

424\sqrt{2}

11.

What is the length of the short leg of this 30-60-90 triangle?


the short leg = (a)  

12.

What is a in this 30-60-90 triangle?


a = (a)  

13.

Find the value of x.


x = (a)  

14.

What is the measure of side b?

a)

5 2\sqrt{2}  

b)

10√2

c)

 102\frac{10}{\sqrt{2}} 

d)

10√3

15.
Find the value of y.
a)
9
b)
18√2
c)
9√2
d)
(9√2)/2
16.

Week 3: Geometric Mean


In right triangle ABC, altitude CD is drawn to hypotenuse AB. Find the length of BC.

a)

80

b)

40

c)

0

d)

8.9

17.

Week 3: Geometric Mean


Find the length of the altitude (line RS) of triangle PQR.

a)

6.9

b)

48

c)

24

d)

0

18.

Week 3: Geometric Mean


Find the length of AB.

a)

36

b)

18

c)

6

d)

12

19.

Week 2 - Transformations


The coordinates of triangle JRB are ,J(1, -2) , R(-3, 6) and B(4, 5) . What are the coordinates of its image after the transformation (x, y) ->(x+2, y-1) then reflect over the y-axis?

a)

J"(3, 1), R"(-1, -7), B"(6, -6)

b)

J"(3, -3), R"(-1, 5), B"(6, 4)

c)

J"(-3, -3), R"(1, 5), B"(-6, 4)

d)

J"(-1, -2), R"(3, 6), B"(-4, 5)

20.

Week 2 - Transformations


Rotation Rules (clockwise):

What are the coordinates for point A after a 90⁰ rotation clockwise?

a)

(1, 3)

b)

(3, 1)

c)

(3, -1)

d)

(1, -3)