Download In 1-2, complete the sentence with always, sometimes, or never. 1

Geometry: Review 4.1 – 4.3
Name_______________________________________________
In 1-2, complete the sentence with always, sometimes, or never.
1. An isosceles triangle is ____ a right triangle.
2. A right triangle is ____ an equilateral triangle.
In 3-4, classify the triangle by its sides and by its angles.
3.
5. A triangle has the given vertices.
Graph the triangle and classify it
by its sides. Then determine if it is
a right triangle.
4.
A(1, 1), B(4, 0), C(8, 5)
In 6-7, find the value of x. Then classify the triangle by its angles.
6.
7.
8. Find the measure of the exterior angle shown.
In 9-10, find the measure of the numbered angle.
9. 1
10. 3
11. In ABC, mA = mB + 30° and mC = mB + 60°. Find the measure of each angle.
In 12-13, find the values of x and y.
12.
13.
14. Copy the congruent triangles shown at the right. Then label the vertices of your triangles so that AMT  CDN.
Identify all pairs of congruent corresponding angles and corresponding sides.
In 15-20, TJM  PHS. Complete the statement.
15. P  ____
16.
JM  ____
18. mP = ____
19. MT = ____
17. mM= ____
20. HPS  ____
In 21-23, write a congruence statement for any figures that can be proved congruent. Explain your reasoning.
21.
22.
23.
In 24-25, find the value of x.
24.
25.
In Exercises 26 and 27, use the given information to find the indicated values.
26. Given  ABC  DEF, find the values of x and y.
27. Given HJK   TRS, find the values of a and b.
28. GIVEN: ABD  CDB, ADB  CBD, AD  BC , AB  DC
PROVE: ABD  CDB
Statements
Reasons
1. ABD  CDB, ADB  CBD,
1. Given
AD  BC , AB  DC
2.
2.
3.
3.
4.
4.
In 29-31, decide whether the congruence statement is true. Explain your reasoning.
29. ABD  CDB
30. RST  RQT
In 32-34, decide whether the figure is stable. Explain your reasoning.
32.
33.
31.
34.
ABC  DEF
In 35-36, determine whether ABC  DEF. Explain your reasoning.
35.
36.
37. GIVEN:
AB  CD , BC  AD
PROVE: ABC  CDA
Statements
1.
Reason
1.
2.
2.
3.
3.
4.
4.
38. GIVEN: AB  CB , D is the midpoint of AC .
PROVE: ABD  CBD
Statements
1.
Reason
1.
2.
2.
3.
3.
4.
4.