Download Practice B

Name———————————————————————— Date —————————————
Practice B
Lesson
4.1
For use with the lesson “Apply Triangle Sum Properties”
Complete the sentence with always, sometimes, or never.
1. An isosceles triangle is    ?    a right triangle.
2. An obtuse triangle is    ?    a right triangle.
3. A right triangle is    ?    an equilateral triangle.
4. A right triangle is    ?    an isosceles triangle.
Classify the triangle by its sides and by its angles.
5.
1008
6.
7.
Lesson 4.1
758
758
A triangle has the given vertices. Graph the triangle and classify it by its
sides. Then determine if it is a right triangle.
8. A(3, 1), B(3, 4), C(7, 1)
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
y
9. A(1, 1), B(4, 0), C(8, 5)
2
10. A(2, 2), B(6, 2), C(4, 8)
y
2
x
2
y
2
x
2
x
2
Find the value of x. Then classify the triangle by its angles.
11.
2x 8
12.
3x8
2x8
13.
x8
558
x8
508
708
Geometry
Chapter Resource Book
4-9
Name———————————————————————— Date —————————————
Practice B continued
Lesson
4.1
For use with the lesson “Apply Triangle Sum Properties”
Find the measure of the exterior angle shown.
14. 808
x8
15. (4x 1 8)8
(2x 1 3)8 16.
2x8
518
(103 2 x)8
(6x 2 7)8
( 3x2 22)8
Lesson 4.1
Find the measure of the numbered angle.
17. ∠ 1
18. ∠ 2
19. ∠ 3
20. ∠ 4
1
208
228
2
588
3
4
21. In n ABC, m∠ A 5 m∠ B 1 308 and m∠ C 5 m∠ B 1 608. Find the measure of
each angle.
22. In n ABC, m∠ A 5 2(m∠ B) and m∠ C 5 3(m∠ B). Find the measure of
each angle.
23.
24.
568
y8
x8
x8
398
508
25.
708
748
y8
308
26. Metal Brace The diagram shows the dimensions of a metal brace used for
strengthening a vertical and horizontal wooden junction. Classify the triangle
formed by its sides. Then copy the triangle, measure the angles, and classify
the triangle by its angles.
10.5 in.
7.14 in.
7.7 in.
4-10
Geometry
Chapter Resource Book
x8
788
y8
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Find the values of x and y.