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Integrated Math 2 Unit 1 Review

Total questions: 20

Worksheet time: 30mins

Name
Class
Date
1.

Can you help our space explorer find the coordinates of the mysterious point X in the galaxy?

a)

(5,2)

b)

(2,3)

c)

(4,4)

d)

(6,6)

2.

Which option could be used to prove a quadrilateral is a parallelogram?

a)

Both pairs of opposite sides are congruent

b)

Diagonals are congruent

c)

One pair of opposite sides are congruent

d)

Both pairs of opposite sides are congruent and diagonals are congruent

3.

Imagine you're an architect and you've been tasked with designing a triangular park. Can you figure out the area of your park?

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

4.
Which of the following is NOT true for a rectangle?
a)
all four angles are right angles
b)

all sides are congruent

c)
diagonals are congruent
d)
diagonals bisect each other
5.

How is the distance formula correctly written:

a)

d = (y1  y2)2 (x2  x1)2 d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\

b)

d = (x2  x1)2 + (y2  y1 )2d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}

c)

d = (x1  y1)2 + (x2  y2)2d\ =\ \sqrt{\left(x_{1\ }-\ y_1\right)^2\ +\ \left(x_{2\ }-\ y_2\right)^2}

d)

d = (x)2 (y)2\sqrt{\left(x\right)^2-\ \left(y\right)^2}

6.

Which option could be used to prove a quadrilateral is a square?

a)

All sides are congruent

b)

Diagonals are congruent

c)

All sides are congruent and diagonals are congruent

d)

Opposite sides are parallel

7.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

8.

Which option could be used to prove a quadrilateral is a rectangle?

a)

Both pairs of opposite sides are congruent

b)

Diagonals are congruent

c)

One pair of opposite sides are congruent

d)

Both pairs of opposite sides are congruent and diagonals are congruent

9.

Imagine you're an adventurer who has stumbled upon a mystical triangle in an ancient ruin. Can you figure out the total distance you'd have to walk to trace the entire triangle?

a)

150 ft

b)

100 ft

c)

20 ft

d)

35 ft

10.

Find the distance between A (8 , 0) and B (2 , -3)

a)

9

b)

45\sqrt{45}

c)

40\sqrt{40}

d)

7

11.

What is the area?

a)

56

b)

16

c)

32

d)

36

12.

Which special quadrilaterals have congruent diagonals?

a)

Rectangle and parallelogram

b)

Rectangle and square

c)

Rhombus and square

d)

Kite and rhombus

13.

John has a garden in the shape of a parallelogram. The base of the garden is 35 cm and its area is 700 cm2. Help John find out the height of his garden.

a)

20 cm

b)

24,500 cm

c)

0.05 cm

d)

2 cm

14.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
15.
Find the area.
a)
64 m
b)
72 m
c)
72 m2
d)
64 m2
16.
Which quadrilateral is NOT a parallelogram?
a)
rectangle
b)
square
c)
trapezoid
d)
rhombus
17.

Classify the quadrilateral.

a)

Rhombus

b)

Parallelogram

c)

Square

d)

Rectangle

18.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
19.

Which conclusion can be drawn?

a)

All quadrilaterals are kites, but all kites are not quadrilaterals.

b)

All parallelograms are rhombi, but all rhombi are not parallelograms.

c)

All squares are parallelograms, but all parallelograms are not squares.

d)

All parallelograms are rectangles, but all rectangles are not parallelograms.

20.

Imagine you're a treasure hunter on a grand adventure! You've come across a mysterious map with a point marked (5,2). Which letter did you find at this point?

a)

L

b)

T

c)

R

d)

Z