Triangle Inequality Theorem
Triangle Congruency Theorems
Classify Triangles on the Coordinate Plane
Equilateral and Isosceles Triangle
100

Can the following side measures form a triangle?

3, 5, 5

Yes

100
What are the five ways to prove triangles congruent?


SSS, ASA, AAS, SAS, HL
100

Points G, H, and I are plotted on the coordinate grid. How many units are between points H and I?

a) 15 units

b) 14 units

c) 10 units

d) 9 units


d) 9 units

100



Find the value of x

25

50

65

130

25

200

Determine if it is possible to form a triangle with the given side lengths. 15 in., 12 in., 2 in.

No
200


A) Congruent by SAA

B) Congruent by ASA

C) Congruent by SSS

D) Congruent by AAS

B) Congruent by ASA

200

Classify the triangle.

Select all that apply

acute

right

obtuse 

isosceles

scalene

equilateral

right

scalene

200

If AB ≅ AC in △ABC, then 

∠B ≅ ∠C

∠A ≅ ∠C

BC ≅ AC

BC ≅ BA

∠B ≅ ∠C

300
If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?


a) any length
b) equal to 10
c) greater than 10
d) less than 10


c) greater than 10
300

△ABC ≅ △LMN. Which statement is not true?

A) LM ≅ AB

B) △CAB ≅ △NLM

C) ∠C ≅ ∠N

D) BC ≅ ML

D) BC ≅ ML

300

If a triangle with vertices of (-3,0), (0,3), (3,0), classify it by its sides.

A) Isosceles

B) Scalene

C) Equilateral

D) Obtuse

A) Isosceles


300


Find the value of x

3

6

8

12

6

400

Which of the following does not represent the lengths of the sides of a triangle?

a) 2 cm, 6 cm, 7 cm

b) 5 cm, 2 cm, 5 cm

c) 5 cm, 5 cm, 8 cm

d) 3 cm, 10 cm, 15 cm

d) 3 cm, 10 cm, 15 cm

400
Are these triangles congruent?


A) Yes, by AAS

B) Yes, by SAS

C) Yes, by ASA

D) No, this is the SSA one!!

A) Yes, by AAS

400

Classify the following triangle with vertices at S(3,-1), I(7,3) and T(-1,7). Select all that apply

scalene

isosceles

equilateral

right

acute

obtuse

isosceles

acute

400


Solve for x

9

8

7

6

8

500

What is the range of possible third side measures using 10 and 15?

a) 9 < x < 16

b) 10 < x < 15

c) 1 < x < 5

d) 5 < x < 25

d) 5 < x < 25

500
Are these triangles congruent? If so, state the rule which you used to determine congruence.


A) AAA

B) AAS

C) ASA

D) Not necessarily congruent


C) ASA

500

Classify the following triangle with coordinates, A(1,3) T(6,3) and R(2,1). Select all that apply

acute

right

obtuse 

isosceles

scalene

equilateral

right

scalene

500

What is the value of x?

11

12

13

14

13