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Quiz (9.1-10.5) Review

Total questions: 17

Worksheet time: 28mins

Name
Class
Date
1.

Which formula is used to show that lengths of lines are parallel or perpendicular?

a)

Slope

b)

Midpoint

c)

Distance

2.

Which pair of sides are perpendicular?

a)

AB and BC

b)

BC and CD

c)

CD and DA

d)

DA and AB

3.

What do you need to show FIRST before proving a quadrilateral is a rhombus, rectangle or square?

a)

Show it is a triangle.

b)

Show it is a parallelogram.

c)

Show it is a quadrilateral.

d)

Show it is colorful.

4.

What is the distance of JK, where J(4,3) and K(2, -3)?

a)

√ ̅3̅2̅

b)

40

c)

32

d)

√ ̅4̅0̅

5.

Given two points (x1, y1), (x2, y2) the distance between them is:

a)
b)
c)
d)
6.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
7.

Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other?

a)

The length of SP, PQ, RQ, and SR are each 5.

b)

The slope of SP and RQ is 43-\frac{4}{3} and the slope of SR and PQ is 34\frac{3}{4} .

c)

The length of SQ and RP are both 50\sqrt{50} .

d)

The midpoint of both diagonals is (4.5,5.5)\left(4.5,5.5\right) , the slope of RP is 7, and the slope of SQ is 17-\frac{1}{7} .

8.
a)

Find the midpoint of the diagonals.

b)

Find the length of the diagonals.

c)

Find the slope of the diagonals.

d)

Diagonals in a rhombus are not perpendicular, so this is not a good method.

9.

What is true about △ABC? Select three options.

a)


AB AC\overline{AB\ }\perp\ \overline{AC}

b)

The triangle is a right triangle.

c)

The triangle is an isosceles triangle.

d)

The triangle is an equilateral triangle.

e)

BC AC\overline{BC}\ \parallel\ \overline{AC}

10.

What is the area of the figure?

 AreaΔ=(base)(height)2Area_{\Delta}=\frac{\left(base\right)\left(height\right)}{2}  

a)

11 square units

b)

15 square units

c)

25 square units

d)

30 square units

11.

What is the area of this figure?

a)

7 units2

b)

15 units2

c)

7.5 units2

d)

15.5 units2

12.

What is the perimeter of square ABCD?

a)

6.08 units

b)

24.33 units

c)

28

d)

37

13.

What is the area of square ABCD?

 A=bhA=b\cdot h  



(a)  

14.

Find the values of both x and y.

a)

x = 4, y = 9

b)

x = 17, y = 12

c)

x = 6, y = 9

d)

x = 4, y = 12

15.

Solve for x.

a)

x = 13

b)

x = 15

c)

x = 70

d)

x = 10

16.

In rectangle GHJK solve for x.

a)

25

b)

65

c)

17

d)

5

17.

ABCD is a rectangle. m∠BCE = 4x-23 and m∠DCE = 5+5x. Find m∠BCE. DRAW PICTURE, SOLVE PROBLEM, SHOW YOUR WORK, AND ATTACH A PICTURE OF IT IN TEAMS.


HINT: RECTANGLE HAS 4 90 DEGREE ANGLES

(a)