Unit 4 Test Review Grab a piece of

Unit 4 Test Review Grab a piece of paper and get ready with you group.

List the sides of the triangle from least to greatest in size. MN, ON, MO 60

What are the possible lengths for the third side of a triangle if the other two sides are 15 and 37. If the side is the longest: If the side is the shortest: 15 + 37 = 52, it must be less 37 – 15 = 22, it must be than 52. greater than 22. 22 < X < 52

Can you make a triangle out of the following segment lengths? Give proof. A) 5, 8, 12 Yes, 5 + 8 = 13 > 12 B) 15, 10, 4 No, 10 + 4 = 14 > C) 4, 18, 14 No, 4 + 14 = 18 > 18 15

Find the following values. ABCDE PFKYM 1) 1. 5 a = ______ 4 a = 6 2) 40 Perimeter of PFKYM = ____ ABCDE = 10 + 8 + 6 + 5 + 11 = 40

Multiple Choice: Select the best answer. 1) TRY FOG with m R = 19 and m F = 73. What is m O? (A) 19 2) (C) 88 (D) 92 Which of the following cannot be used to prove that ALL kinds of triangles are congruent? (A) AAS 3) (B) 54 (B) SAS (C) SSS (D) HL Thm MAD is an obtuse triangle. If m A is the obtuse angle, then what is the sum of M and D? (A) < 90 (B) 90 (C) > 90 (D) None

Perimeter of MUD = 38 10 MD = ______ 38 – 28 = 10 14

Find missing measure of x. 1 + 2 + 120 = 180 1 + 2 = 60 x + 30 + 1 + 50 + 2 = 180 x + 80 + 1 + 2 = 180 x + 80 + 60 = 180 x + 140 = 180 x = 40 30 1 x 120 50 2

Which of the following is the best estimate for the length of PR A) 137 B) 145 C) 163 D) 187

SLN is an equilateral triangle. N Find the m TIE. 60 m TIE = _______ E T S 60 60 I 60 L

Determine if the following triangles are congruent. If “yes”, give the specific shortcut that proves they are congruent. Yes, SAS No; Can’t use SSA. No; Corresponding parts do not match

Determine if the following triangles are congruent. If “yes”, give the specific shortcut that proves they are congruent. No Yes, SSS Yes, HL Thm

What additional fact would you need to prove that the two triangles are congruent using given theorem? TW WV (A) _____ SAS CT TH (B) ______ HL Thm U S (C) ______ AAS C A T O H

Write the converse of the following statement. “If a triangle is equilateral, then the triangle has three equal sides. ” “If a triangle has three equal sides, then the triangle is equilateral. ” Can we write these statements as a biconditional? If “yes”, write the biconditional. If “no”, provide a counterexample. “A triangle is equilateral if-and-only-if the triangle has three equal sides. ”

Given: Prove: LA ll TR, IR LS, L R LS ll IR Statements LA ll TR, IR LS, L R A T LAS RTI LSI RIT LS ll IR Reasons Given Alt. Interior s Theorem AAS or SAA CPCTC Converse of the Alt. Interior s Theorem