MidtermReviewPacketKey

# A straight angles b right angles c relative size d

• Notes
• 14

This preview shows page 4 - 10 out of 14 pages.

a.) Straight angles b.) Right angles c.) Relative size d.) Relative position e.) Congruence 34.) MN is a median. m PMN=(2 x + 9) o m QMN=( 12 x + ) o What is m PMQ? 35.) Determine if line a // line b , given that ( 29 ( 29 2 1 , 2 128 8 , o o m x m x ∠ = = - and ( 29 3 15 6 o m x = + . Justify your reasoning with a theorem. b a 1 2 3 Complete each of the following proofs on separate paper: 36.) Given : ; ; . ; O OB OF AB CD EF CD 2245 e Conclusion : . AB EF 2245 (Prove in paragraph form.) j E C O D A B F 3x-1 x+19 x+12 2x+9 P Q M N

Subscribe to view the full document.

37.) Given : ; . WX VX WY VZ 2245 2245 Conclusion : . Y Z 2245 ∠ (Two-column form.) X Y Z W V 38.) Given : ; ; . P T PR ST NP VT 2245 ∠ 2245 2245 Conclusion : . N V 2245 ∠ (Two-column form.) Determine whether each of the following are ALWAYS, SOMETIMES, or NEVER true: 39.) An isosceles triangle is a right triangle. 40.) An equilateral triangle is an acute triangle. 41.) An isosceles triangle has 90 ° base angles. 42.) At least one altitude in a right triangle is outside the triangle. 43.) All three medians in an obtuse triangle are inside the triangle. Solve each of the following problems based on the information given and what you have learned: 44.) What is the midpoint of a segment with endpoints 2 , 5 3 A - ÷ and 1 ,1 ? 6 B ÷ 45.) The midpoint of a segment is (7, -2). If one endpoint of that segment is (-6, 9), what is the other endpoint? 46.) Suppose XY uuur s has a slope of 2 3 . If you know that X = (8, 5) and Y = (14, n 2 ), what are the possible value(s) of n? P T V N R S
47.) J(0,6); K(-3,-1); L(8,-4) a.) If M is the midpoint of , JL what are its coordinates? b.) What is the slope of median KM ? c.) What is the slope of altitude KA ? d.) Is JKL a right triangle? 48.) Given that // line j linek , what is the value of x ? k j x 42 ° Complete each of the following proofs on separate paper: 49.) Given : . ; WXYZ isa QZ PX 2245 Y Conclusion : // . WP QY (Two-column form.) 2 1 W X Y Z P Q 50.) Given : ABDF is a ; Y 1 2. ∠ 2245 ∠ Conclusion : AGDC is a . Y (Two-column form.) 2 1 A F D B C G M J K L A A

Subscribe to view the full document.

Solve each of the following problems based on the given information and what you have learned: 51.) What is the value of x ? x 158 ° 127 ° 52.) Give the most descriptive name for each of the following quadrilaterals: a.) b.) c.) d.) e.) A(1, 7); B(-4, 7); C(-4, 2); D(1, 2) f.) E(1, 4); F(-4, 4); G(5, -5); H(5, 0) g.) J(4, 3); K(9, 2); L(8, 7); M(3, 8) 53.) Name each of the following polygons: a.) 5-sided b.) 7-sided c.) 10-sided d.) 12-sided 54.) Answer the following questions: a.) What polygon has the sum of its interior angles as 1440 o ? b.) How many diagonals does a pentadecagon have? c.) What is the measure of each exterior angle in a regular octagon? d.) The measure of an interior angle of a regular polygon is 150 o . What type of polygon is it? e.) In a regular polygon, the measure of an exterior angle is 2/7 the measure of an interior angle. What type of polygon is it? 55.) What is the value of x in the diagram below?

Subscribe to view the full document.

PART 2 : Determine whether each of the following are ALWAYS, SOMETIMES, or NEVER true: 1.) The converse of a theorem is true.
You've reached the end of this preview.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern