Section 5 Review - Triangle Congruence

Section 5 Review - Triangle Congruence

Triangles!

• all three angles in a triangle add up to 180^o

• three types of triangles:

• equilateral - 3 congruent sides

• isosceles - 2 congruent sides

• scalene - NO congruent sides

Multiple Choice

What type of triangle is pictured here?

• equilateral

• isosceles

• scalene

• obtuse

Fill in the Blanks

The angles in a triangle always add up to _ degrees.

Multiple Select

Select all missing angles. Find angles 1, 2, and 3.

• 51

• 39

• 20

• 141

• 90

Isosceles triangle

• two sides congruent to each other

• two base angles congruent

Multiple Choice

Determine x

• 93

• 71

• 81

• 55

Multiple Choice

• 72
• 67
• 65
• 54

Multiple Choice

AB = BC, what is x?

• 51

• 129

• 180

• 102

Exterior Angle Theorem

the sum of the two remote interior angles is equal to the exterior angle

m<1 + m<2 = m<4

Multiple Choice

which of these equations represents the image?

• 5y + 3 = 4y + 8

• 5y + 3 + 4y + 8 = 180

• 5y + 3 = 146

• 5y + 3 + 4y + 8 = 146

• 4y + 8 = 146

Multiple Choice

Which of these equations represents the image?

• 9x + 3 + 6x + 8 = 180

• 9x + 3 + 6x + 8 = 10x + 40

• 9x + 3 = 6x + 8

Fill in the Blanks

solve for x. round to the nearest tenth.

triangle congruence statements

ORDER MATTERS
line up all the corresponding angles and make sure the order is the same.
EX:  $\overline{ST}\ \cong\overline{ED}$   

Multiple Choice

∠ABC≅ ?

• ∠PMN

• ∠NPM

• ∠NMP

• ∠MNP

Multiple Choice

Given: ∆ABC≅∆PQR, m∠B=3V+4, & m∠Q=8v-6. Find m∠B

[Hint: DRAW A PICTURE!]

• 22

• 11

• 10

• 2

Area and Perimeter of Triangles

• area =

   $\frac{1}{2}bh$  

• perimeter -  the sum of all sides

Multiple Choice

Set up an equation for the perimeter of this triangle.

• 16x + 27 + 25x + 14x - 45 = 1013

• 16x + 27 + 25x + 14x - 45 = 180

• 16x + 27 = 1013

Fill in the Blanks

What is the value of x? Round to the nearest tenth. (hint: use the equation from the last question)

Multiple Choice

What is the Perimeter of ∆XYZ?

• 425
• 107.95
• 21
• 88.25

Triangle congruence

• SSS - three corresponding sides congruent

• SAS - two corresponding sides congruent with an included congruent angle

• ASA - two corresponding angles congruent with an included congruent side

• AAS - two corresponding angles congruent with a non-included side

Multiple Select

In each pair of triangles, parts are congruent as marked. Which pair(s) of triangles is/are congruent, by ASA?

Multiple Choice

Determine the postulate or theorem you would use to prove each pair of triangles congruent.

• ASA
• SSS
• AAS
• Not Enough Information

Multiple Choice

Name the theorem or postulate that lets you immediately conclude ∆ABD ≅ ∆CBD.

• SAS

• AAS

• ASA

• H-L

• none of these

Multiple Select

From the information in the diagram, can you prove ∆FDG ≅ ∆FDB ? If so, in what way(s)? Explain.

• yes, by ASA

• yes, by AAA

• yes, by AAS

• no

• Unsure

Multiple Choice

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB
• ∡AED≅∡BEC
• DE=CE
• ∡AED≅∡CED

Multiple Choice

Fill in the blank.

• Given
• Reflexive Property
• Transitive Property
• They're the same side!!!!!! 

Poll

How confident do you feel about these topics?

• very confident

• moderately confident

• somewhat confident

• not at all confident

Poll

Which areas do you feel you need more practice in?

• triangle classification (equilateral, isosceles, scalene)

• isosceles triangles

• triangle angle sum (all angles add up to 180) including exterior angle theorem

• triangle congruence statements (SSS, SAS, ASA, AAS)

• none, I feel ready to take the test right now!