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Ch 7 review

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Name________________________________________________
Dates: 2/15 - 2/19
Geometry H
Practice Ch 7 (Ch 7-1 thru 7-5 only)
For #1-6, find the value of the variable(s)
1)
2)
3)
4)
5)
6)
7) Points D, E, F are midsegments
mÐB = 78°; mÐCEF = 70°
8) Find x in △XYZ.
Find all 12 angles in the shape
9) Find the values of x and y below
9¾) Find x in △PQR.
10) Solve for x:
(
) (
) (
)
11) Triangle ABC has coordinates A -41, -50 ; B -31, -56 ; C -35, -52
a) Find the equation of the midsegment that connects side AB to side BC
b) Verify using slopes that this midsegment is parallel to the opposite side
c) Verify using distance formula that this midsegment is half the length of the opposite side
12) Rectangle A has side lengths of 6x +2 and 3x +2 . Its perimeter is 20. Rectangle B has side lengths of
12x and 5x +2 . Are the rectangles similar? Prove it. If so, what is the similarity ratio?
Use the diagram at right for #13-15
13) Which triangles are similar? What postulate did you use?
14) Solve for x
15) Find the length of RN
16) If a triangle has angle measures in ratio of 3:5:7,
classify the triangle as acute, right, or obtuse
17) Consider the diagram below. Nuni says you
can set up proportions to solve for x, but
Gertrudis says no way. Who’s right? Explain.
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