Post on 08-Jul-2020
Homework 5A.1: Parallel Lines and TransversalsDirections: Name each of the following types of angles. Then, state whether they are congruent or supplementary.
Name: Name:
Congruent or
Supplementary
Congruent or
SupplementaryName: 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.
5.
6.
7.
x =
m<C =
m<F =
x =
m<D =
m<F =
x =
m<B =
m<G =
Directions: Solve for the following. Show all work in the space provided.
9. 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)
10. 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°
11. 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
12. Find the value of x and y.
Homework 5A.2: Triangle Proofs
8.
x =
m<4 =
m<10 =
Math 3
1. Given: RS≅ RU ,TS≅ TU , ¿ S≅<U ,<SRT ≅<URT Prove: ∆ RST ≅ ∆ RUT
2. Given: RS≅UT ,RT ≅ SU Prove: ∆ RST ≅ ∆UTS
3. Given: AB≅ AD ,<B≅<D ,¿ ACB∧¿ACD are90°
Prove: ∆ ABC ≅∆ ADC
4. Given: LM ≅ PO ,<L≅<P ,<M∧¿Oare90 ° Prove: ∆ LMN ≅ ∆ PON
5. Given: H isthemidpoint of GJ ,GI ≅ IJ Prove: ∆GHI ≅∆ JHI
6. Given: M is themidpoint of >, M is themidpoint of HS
Prove: ∆GMH ≅∆TMS
7. Given: ¿ B∧¿Dare90 ° , AEbisects BD Prove: ∆ ABC ≅∆ EDC
8. Given: DC∨AE , DE≅ AC , Bis themidpoint of AE Prove: ∆ BDE≅ ∆BCA
Homework 5A.3 – Proving Parallelograms Practice
12)
Homework 5A.4 – Quadrilaterals
Directions: For questions #1-2, find the measure of each missing angle.1. 2.
Directions: For questions #3-4, find x and the length of EF.3. 4.
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
2. 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.
3. Solve for x if the figure is a rhombus. 4. Solve for x if the figure is a rectangle.
5. What is the length of LN if the figure is a rectangle?
6. 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