Congruent Triangles TEST REVIEW

Given ∆XYZ ≡ ∆RST, Find the following: XZ ≡ <Z ≡ YZ ≡ <Y ≡ < XY ≡

Given ∆XYZ ≡ ∆RST, Find the following: <R ≡ < X XZ ≡ RT <Z ≡< T YZ ≡ ST <Y ≡ < S XY ≡ RS

Classify the Triangle by its’ sides and its’ angles 800 500 500

Classify the Triangle by its’ sides and its’ angles ACUTE ISOSCELES 800 500 500

Classify the Triangle by its’ sides and its’ angles 25 12 1300 200 10

Classify the Triangle by its’ sides and its’ angles OBTUSE SCALENE 25 12 1300 200 10

Classify the Triangle by its’ sides and its’ angles 600 600 600

Classify the Triangle by its’ sides and its’ angles 600 600 600 EQUILATERAL, EQUIANGULAR

What are the ways to prove that two triangles are congruent?

What are the ways to prove that two triangles are congruent? SSS SAS, LL AAS ASA HL

Find m<B C 5x+2 A 3x+5 B 2x+23

Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 C 5x+2 A 3x+5 B 2x+23

C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180 5x+2

C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180

C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180

C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180 = 2(15) + 23 C 5x+2 A 3x+5 B 2x+23

C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180 = 2(15) + 23 = 30 + 23 C 5x+2 A 3x+5 B 2x+23

C A B Find m<B 3x + 5 + 5x + 2 + 2x + 23 = 180 10x +30 = 180 = 2(15) + 23 = 30 + 23 =53 degrees C 5x+2 A 3x+5 B 2x+23

Given the following can you prove that ΔACD ≡ ΔBCD Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD bisects <ACB and <A ≡ <B 1 2 A B D

Given the following can you prove that ΔACD ≡ ΔBCD Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD bisects <ACD and <A ≡ <B 1 2 Yes. AAS A B D

Given the following can you prove that ΔACD ≡ ΔBCD Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD is perpendicular to AB, and AC ≡ BC 1 2 A B D

Given the following can you prove that ΔACD ≡ ΔBCD Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD is perpendicular to AB, and AC ≡ BC 1 2 Yes. HL A B D

CD is the perpendicular bisector of AB. Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD is the perpendicular bisector of AB. 1 2 A B D

CD is the perpendicular bisector of AB. Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD is the perpendicular bisector of AB. 1 2 Yes. SAS A B D

CD is an altitude of ΔABC. Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD is an altitude of ΔABC. 1 2 A B D

CD is an altitude of ΔABC. Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD is an altitude of ΔABC. 1 2 No A B D

CD is a median of ΔABC, and <CDB=90 degrees. Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD is a median of ΔABC, and <CDB=90 degrees. 1 2 A B D

CD is a median of ΔABC, and <CDB=90 degrees. Given the following can you prove that ΔACD ≡ ΔBCD? If so, by what theorem. C CD is a median of ΔABC, and <CDB=90 degrees. 1 2 Yes. LL A B D

ΔXYZ is what kind of triangle? (scalene, isosceles, or equilateral) 1100 1100

ΔXYZ is what kind of triangle? (scalence, isosceles, or equilateral) 1100 1100 Isosceles

Find m<A A 1100 1100

Find m<A A 1100 1100 700 700

Find m<A A 1100 1100 700 700 70 + 70 = 140

Find m<A A 1100 1100 700 700 70 + 70 = 140 180 – 140 = 40

A Find m<A m<A = 40 degrees 1100 1100 700 700 70 + 70 = 140 180 – 140 = 40

Find the length of AB A 5x + 13 7x - 11 C B

Find the length of AB A 5x + 13 7x - 11 C B 7x – 11 = 5x + 13

Find the length of AB A 5x + 13 7x - 11 C B 7x – 11 = 5x + 13 2x = 24

A C B Find the length of AB 7x – 11 = 5x + 13 2x = 24 X = 12 5x + 13

A C B Find the length of AB AB = 5x + 13 7x – 11 = 5x + 13 2x = 24

A C B Find the length of AB AB = 5x + 13 = 5(12) +13 7x – 11 = 5x + 13

A C B Find the length of AB AB = 5x + 13 = 5(12) +13 = 60 + 13 7x – 11 = 5x + 13 2x = 24 X = 12

A C B Find the length of AB AB = 5x + 13 = 5(12) +13 = 60 + 13 =73 7x – 11 = 5x + 13 2x = 24 X = 12

Complete the statement with sometimes, always, or never A right triangle is an isosceles triangle. An obtuse triangle is an equilateral triangle. An isosceles triangle is an equilateral triangle. An acute triangle is a scalene triangle.

Complete the statement with sometimes, always, or never A right triangle is SOMETIMESan isosceles triangle. An obtuse triangle is NEVER an equilateral triangle. An isosceles triangle is SOMETIMES an equilateral triangle. An acute triangle is SOMETIMES a scalene triangle.

Find the measure of the exterior angle 650 720

Find the measure of the exterior angle 65 + 72 650 720

Find the measure of the exterior angle 65 + 72 137 650 720

Find the measure of the exterior angle 65 + 72 137 137 degrees 650 720

What is missing to say that the two triangles below are congruent by AAS D B F C

What is missing to say that the two triangles below are congruent by AAS D <B ≡ <D B F C

What is missing to say that the two triangles below are congruent by SAS D A B C F

What is missing to say that the two triangles below are congruent by SAS D A Not Congruent B C F

Remember: Special segments, and what they mean Triangle congruency statements tell you everything you need to know about the angles and side. When you are choosing what theorem makes two triangles congruent, be careful about the order you use. The only two things you can assume without being told are vertical angles and reflexive sides (AB = AB)