Unit 5

Question 1

General proofs

Answer 1

HL, SAS, AAS, ASA, SSS

Question 2

Isoceles theorems

Answer 2

1. If the triangle had 2 congruent sides it is isoceles
2. If the triangle had 2 congruent sides the opposite angles are congruent
3. If the triangle had 2 congruent angles the opposite sides are congruent

Question 3

Tip for overlapping triangles

Answer 3

Redraw each one to find corresponding points

Question 4

How to find shortest/longest side of triangle

Answer 4

Across shortest/longest angle

Question 5

Double triangle proofs

Answer 5

Highlight both triangles and redraw- also you usually want to use general proofs

Question 6

REMINDER

Answer 6

REMEMBER TO TRY GENERAL PROOFS TO SEE IF THEY FIT AS WELL AS THE ISOCELES THEOREMS (THESE ARE NOT ALWAYS NECCESSARY)

Question 7

If the proof has a right angle and you find the hypotenuse

Answer 7

USE HL

Question 8

Right angle

Answer 8

90 degrees total

Question 9

Acute triangle

Answer 9

Angles less than 90 degrees

Question 10

Obtuse angle

Answer 10

Vertex angle is the largest (like in review question), one angle more than 90 degrees but less than 180 degrees

Question 11

TRIANGLE ANGLE SUM THEOREM

Answer 11

IN ANY TRIANGLE THE SUM OF THE MEASURES OF THE THREE INTERIOR ANGLES IS 180 DEGREES

Question 12

EXTERIOR ANGLE THEOREM

Answer 12

THE MEASURE OF AN EXTERIOR ANGLE OF A TRIANGLE IS EQUAL TO THE SUM OF THE REMOTE TWO INTERIOR ANGLES

Question 13

Algebraic finding measures of triangles

Answer 13

Exterior angle theorem & triangle angle sum theorem

Question 14

If 3 sides of one triangle are congruent to three sides of another triangle, the triangles are congruent

Answer 14

SSS

Question 15

If 2 sides and the INCLUDED ANGLE of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent

Answer 15

SAS

Question 16

If 2 angles and the INCLUDED side of one triangle are congruent to the corresponding parts of another triangle the triangles are congruent

Answer 16

ASA

Question 17

If 2 angles and the NON INCLUDED SIDE OF ONE TRIANGLE ARE CONGRUENT TO THE CORRESPONDING PARTS OF ANOTHER TRIANGLE THE TRIANGLES ARE CONGRUENT

Answer 17

AAS

Question 18

If the hypotenuse and leg of one right triangle (Look for evidence in given) are congruent to the corresponding parts of another right triangle, the right triangles are congruent

Answer 18

HL

Question 19

Congruent triangles

Answer 19

Use SSS SAS ASA HL AAS

Question 20

Tips

Answer 20

-highlight triangles
-write proofs theorems, review of the triangles, exterior sum theorem and triangle sum theorem
- Stay nervous

Question 21

Overlapping triangles

Answer 21

When trying to prove overlapping triangles are congruent, look for a side or angle that is SHARED by the triangles (hence why they are overlapping- they share something)