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geometry main results - 10th Grade - Unit 6

Total questions: 10

Worksheet time: 52mins

Name
Class
Date
1.

Given l and m two parallel lines, and angle 2 = 47 degrees,

how much angle 5 would be?

a)

47 degrees

b)

43 degrees

c)

133 degrees

d)

We don't know

2.

Given l and m two parallel lines, what sentence is true?

a)

1 = 2 = 3 = 4 and 5 = 6 = 7 = 8

b)

1 = 6, 2 = 5, 4 = 7, 3 = 8

c)

1 = 3, 3 = 6, 6 = 8, 2 = 4, 4 = 5, 5 = 7

d)

1 = 7, 2 = 8, 4 = 6, 3 = 5

3.

Given l parallel to m, and n parallel to p, which of the following are true? (choose all true)

a)

1=3=5=7==9=11=13=15

b)

4=10, 1=11, 8=2, 7=1, 16=10, 9=15

c)

3 = 6 = 12 = 13, 1 = 10 = 15 = 8

d)

2 = 12, 3 = 9, 6 = 4, 13 = 11

e)

15 = 9, 7 = 2, 1 = 8, 10 = 15

4.

Choose all sentences that are correct

a)

Two lines are parallels if and only if in any croosing lines, alternate internal angles are congruent

b)

Two lines are parallels if and only if in any croosing lines, alternate internal angles and same side internal angles are congruent

c)

Two lines are parallels if and only if in any croosing lines, corresponding angles are congruent

d)

Two lines are parallels if and only if in any croosing lines, alternate external angles are congruent

5.

Given an isosceles triangle, find T

a)

32 degrees

b)

96

c)

30 degrees

d)

90 degrees

e)

neither

6.

Choose all correct.

a)

Z is called circumcenter and it is the center of the only circumscribed circle on the triangle

b)

ZK = ZL = ZM

c)

Z is called INcenter and it is the center of the only circle inscribed in the triangle

d)

ZH = ZG = ZJ

e)

Given ZG = 65, and ZL = 16, we conclude that HJ = 126

7.

QX and _ RX are angle bisectors of △PQR. And YX =19.2

Tell, which of the above sentences are true

a)

The distance from X to PQ is smaller than 19

b)

The angle PQR is of 104 degrees

c)

X is the circumscenter

d)

The incenter of the △PQR is X

e)

PQ could have more than one size

8.

ABCD is a parallelogram.

Choose all correct sentences

a)

y = 11

b)

x is not an integer

c)

∠A = 109°

d)

BC = 66.5

9.

Use DESMOS to find the circumcenter and incenter, and the radii of the circumscribed and inscribed circles, respectively, to the triangle with vertices (5,0), (-1, -2) and (1,7)

4 lines
10.

Write the justification of each step and explain it.

4 lines