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DAY 1 Geometry Midterm Review

Total questions: 13

Worksheet time: 15mins

Name
Class
Date
1.

(Q1) For the ASA Postulate to apply, which side of the triangle must be known?

a)

the included side

b)

the longest side

c)

the shortest side

d)

a non-included side

2.

(Q2) Consider the figure of overlapping triangles below. If it is given that ∠ T≅∠ P and YD ≅ FD, then what is needed to prove that ∆YDT≅∆FDP?

a)

YFPFYT\angle YFP\cong\angle FYT

b)

not enough information

c)

YDTFDP\angle YDT\cong\angle FDP

d)

YDFTDP\angle YDF\cong\angle TDP

3.

(Q3)Given S is the midpoint of BT and  BOBTBO\parallel BT  
Prove: ∆BOS≅∆TAS.


Which of the choices below is the reasoning to justify
 step 6 in the proof?

a)

SSA

b)

ASA

c)

AAA

d)

SSS

4.

(Q4)Which statements can you use to prove ∆PAM≅∆TED?

a)

I, II and III only

b)

I, II and IV only

c)

I, III and IV only

d)

II, III and IV only

5.

(Q5)All of the following sets of ordered pairs create triangles congruent to ∆OPQ except…

a)

(0, 0), (4, 9), (7, 5)

b)

(4, 4), (8, 13), (11, 9)

c)

(1, 0), (8, 4), (5, 9)

d)

(3, -4), (7, 5), (10, 1)

6.

(Q6)Find the length of all sides of the triangle.

a)

BC = 10; AC = 5.5; BA = 2.5

b)

BC = 10; AC = 10; AB = 5

c)

BC = 5; AC = 10; AB = 5

d)

not enough information

7.

(Q7)Find the measure of ∠DAC in the figure.

a)

mDAC = 23°m\angle DAC\ =\ 23\degree

b)

mDAC = 46°m\angle DAC\ =\ 46\degree

c)

mDAC = 33°m\angle DAC\ =\ 33\degree

d)

mDAC = 36°m\angle DAC\ =\ 36\degree

8.

(Q8)Triangle PQR has vertices at P (-3, 3), Q (-3, -2) and R (-1, -2). This triangle is transformed to make ∆ P′Q′R′, as shown. If this transformation is a translation, then what are the coordinates for point R’?

a)

(1, 3)

b)

(1, 3)

c)

(5, -2)

d)

(1, -2)

9.

(Q9)Given that lines c and d are parallel, determine the value of x, y and z in the following figure.

a)

not enough information

b)

x=98° , y = 84°; z=96°x=98\degree\ ,\ y\ =\ 84\degree;\ z=96\degree

c)

x=108° , y = 94°; z=96°x=108\degree\ ,\ y\ =\ 94\degree;\ z=96\degree

d)

 x=109° , y = 84°; z=96°x=109\degree\ ,\ y\ =\ 84\degree;\ z=96\degree 

10.

(Q10)What is m∠JKL?

a)

mJKL=11°m\angle JKL=11\degree

b)

mJKL=54°m\angle JKL=54\degree

c)

mJKL=27°m\angle JKL=27\degree

d)

mJKL=22°m\angle JKL=22\degree

11.

(Q11)Why is  24\angle2\cong\angle4  ?

a)

Vertical Angles

b)

Alternate Exterior Angles

c)

Alternate Interior Angles

d)

Same Side Interior Angles

12.

(Q12)What is the equation of the line that is parallel to 2x=1-3y and passes through the point (9, 4)? 

Select all that apply.

Hint: parallel lines use the same slope and solve your equation for y first.
then use point slope  yy1=m(xx1)y-y_1=m\left(x-x_1\right)  

a)

 y=23x+10y=-\frac{2}{3}x+10  

b)

 y=23x10y=-\frac{2}{3}x-10  

c)

 23x+y=10\frac{2}{3}x+y=10  

d)

 y4=23(x9)y-4=-\frac{2}{3}\left(x-9\right)  

13.

(Q13)The triangle is transformed by the following rules.

(x, y)→(x+2, y-3), then

(x, y)→(-x, -y). What are the coordinates of the resulting triangle?

a)

F’(6, -1) , G’ (6, 3), H’ (8, -1)

b)

not enough info

c)

F’(1, 4) , G’ (1, 8), H’ (3, 4)

d)

F’ (-6, 1), G’ (-6, -3), H’ (-8, 1)