Download Geometry Assignment #12 Algebra in Geometry 1 1. The degree

Geometry
Assignment #12
Algebra in Geometry 1
1. The degree measures of the acute angle of an obtuse triangle can be represented by
5a + 12 and 3a – 2. If the sum of the measures of the acute angles is 82º, find the
measure of each of the acute angles.
2. The measures of the sides of an equilateral triangle are represented by x + 12, 3x – 8, and
2x + 2. What is the measure of each side of the triangle?
3. The lengths of the sides of an isosceles triangle are represented by 2x + 5, 2x – 6, and
3x – 3. What are the lengths of the sides of the triangle?
4. The measures of the sides of an isosceles triangle are represented by x + 5, 3x + 13, and
4x + 11. What are the measures of each side of the triangle?
R1. Solve for a: 2(a – 4) + 1 = 3(a – 5)
R2. Simplify: (x – 7)(x + 7) – x(x – 4)
R3. Factor completely: 2x 2 − 8
R4. AC
(a)
(b)
(c)
is the bisector of ∠DAB .
Draw a diagram.
Write a conclusion that states the congruence of two angles.
Write a conclusion that states the equality of the measures of two angles.
R5. If a straight angle is bisected, what types of angles are formed?
R6. AB & CD and are cut by transversal EF as shown in the diagram.
F
1
2
A
3
6
C
7
B
4
5
8
D
E
Find: m∠5 when m∠3 = x and m∠4 = x + 20.
R7. Two parallel lines are cut by a transversal. The measure of one of the angles of a pair of
corresponding angles can be represented by 42 less than three times the other. Find the
measure of the angles of this pair of corresponding angles.
Island Trees Math Department
1.
2.
3.
4.
57, 25
22
21, 21, 10
19, 19, 7
R1.
R2.
R3.
R4.
a=8
4x – 49
2(x + 2)(x – 2)
explain
R5. right angles
R6. 80
R7. 21
Island Trees Math Department