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NAME ______DATE ______HR__

PRACTICE TEST/ Study Guide

1) A(n) ______triangle has no two sides congruent.

2) Given:

Prove: DABC @ DEDC

What additional two sides need to be

congruent if this is proven using HL?

______@ ______

3) In a triangle, what name is given to a line segment drawn from a vertex to the midpoint of the opposite side?

______

4) If , name the base angles.

______

5) If and ,

then what property justifies that ?

______

6) In a triangle, what name is given to a line segment that is drawn from a vertex

and ^ to the opposite side? ______

7) If DSTP is rotated clockwise 180° about the origin,

the coordinates of S’ are ______.

8) The perimeter of DBAG is 43.

AG = 16

AB = x + 4

BG = 2x +2

Is DBAG scalene, isosceles, or equilateral?

______? (hint: solve for x)

8.5) In ∆ABC, > >. Draw a picture and list the three angles in order from smallest to biggest.

(9-11) Given: is an altitude to

is a median to

mÐABC = (y2)°

mÐACB = (2x - 3)°

BD = 40

CD = x + 2y

9) x = ______

10) y = ______

11)  mÐABE = ______

12) Given: EC = 12

ET = 3x – 5

VE = 10

ER = x + 4

mÐVEC = 5x – 2

mÐRET = 3x + 10

a) x = ______

b) (Circle either) True or False: DVEC @ DRET

13) Given: DABC @ DNTE

mÐE = ______

x = ______

14) Given: ÐEBC @ ÐFCB

ÐABF @ ÐDCE

Prove: DEHC is an isosceles D

STATEMENTS / REASONS
1. ÐEBC @ ÐFCB / 1. Given
2. ÐABF is supp. to ÐFBC
ÐDCE is supp. to ÐECB / 2. If two angles form a straight angle, then they are supplementary.
3. ÐABF @ ÐDCE / 3. Given
4. ÐFBC @ ÐECB / 4. ______
______
5. / 5. ______
______
6. DFBC @ DECB / 6. ______
______
7. / 7. ______
______
8. / 8. Given
9. / 9. ______
______
10. DEHC is an isosceles D / 10. ______
______

15) Given:

D is the midpoint of

E is the midpoint of

Prove: DPBC is isosceles

Statements / Reasons
1.
D is the midpoint of
E is the midpoint of / 1. Given

NOTE: These will NOT be extra credit on the exam. A construction on this exam is worth 9 points on the chapter 3 exam!!!

16. Construct (with a compass and straightedge) the centroid of the triangle below.

Label it point C.

17. On the same triangle (or trace it and do it separately), construct the orthocenter and label it O.