Homework 5A.1:Parallel Lines and Transversals

Directions: Name each of the following types of angles. Then, state whether they are congruent or supplementary.

/ Name: / / Name:
Congruent
or
Supplementary / Congruent
or
Supplementary
/ Name: / / Name:
Congruent
or
Supplementary / Congruent
or
Supplementary

Directions: Find the value of x in each question given that lines l and m are parallel. Check your answers by finding the measure of each angle.

Directions: Solve for the following. Show all work in the space provided.

  1. In the accompanying diagram, line ℓ is parallel to line m, and line t is a transversal. Which must be a true statement?

(1) (3)

(2) (4)

  1. The accompanying diagram shows two parallel roads, Hope Street and Grand Street, crossed by a transversal road, Broadway. If what is the measure of

(1) 40° (3) 110°

(2) 70° (4) 180°

  1. In the accompanying figure, what is one pair of alternate interior angles?

(1) 1 and 2 (3) 4 and 6

(2) 4 and 5 (4) 6 and 8

  1. Find the value of x and y.

Homework 5A.2: Triangle Proofs

Math 3

  1. Given:

Prove: /
  1. Given:
Prove:

  1. Given:

Prove:
/
  1. Given:
Prove:

  1. Given:
Prove:
/
  1. Given:

Prove:

  1. Given:
Prove:
/
  1. Given:

Prove:

Homework 5A.3 – Proving Parallelograms Practice

12)

Homework 5A.4 – Quadrilaterals

Directions: For questions #1-2, find the measure of each missing angle.


Directions: For questions #3-4, find x and the length of EF.


Directions: For questions #5-6, find the measures of the numbered angles in each kite.

5. 6.

Challenge Question: Solve for the unknown angle measures in the kite shown below.

Homework 5A.5 – Parallelogram & Quadrilaterals Review

  1. Use the diagram below to solve for x and y if the figure is a parallelogram.

a)PT = 2x, QT = y + 12,

TR = x + 2, TS = 7y

b)PT = y, TR = 4y -15,

QT = x + 6, TS = 4x - 6

  1. Find the measure of each angle if the figure is a rhombus.

a)Find the m∠1.

b)Find the m∠2.

c)Find the m∠3.

d)Find the m∠4.

  1. Solve for x if the figure is a rhombus.
  2. Solve for x if the figure is a rectangle.

  1. What is the length of LN if the figure is a rectangle?
  2. Solve for the missing angle measures if the figure is a rhombus.

7. What is the length of SW?8. Solve for x in the figure if it is a rhombus.

Unit 5A – Logic and Reasoning Review