Parallel Lines Polygons Proofs 100 pt 100 pt 100 pt 100 pt 100 pt

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Presentation transcript:

Parallel Lines Polygons Proofs 100 pt 100 pt 100 pt 100 pt 100 pt 9/9/2018 Constructions Transformations 100 pt 100 pt 100 pt 100 pt 100 pt 200 pt 200 pt 200 pt 200 pt 200 pt 300 pt 300 pt 300 pt 300 pt 300 pt 400 pt 400 pt 400 pt 400 pt 400 pt 500 pt 500 pt 500 pt 500 pt 500 pt

x - 4 92° What is the value of x?

x = 96°

x 115° m <x = ______

<x = 65°

Write all angles congruent to angle 7. 2 1 4 3 6 5 8 7 Write all angles congruent to angle 7.

Angle 6, 2, and 3.

MNPQ is a parallelogram. Find the measure of angle 1. 100° 30° P Q 1 MNPQ is a parallelogram. Find the measure of angle 1.

50°

Draw a convex heptagon.

(7 sides)

Find the measure of angle x. 140° x Find the measure of angle x.

The measure of angle x is 40°

Find the measure of angle x. 118° 107° 85° 120° Find the measure of angle x.

The measure of angle x is 70°

Find the measure of angle 1. 65° 63° 75° 1 110° Find the measure of angle 1.

47°

Justify this statement: If the m<x + m<y = 180° and the m<z = m<y, then the m<x + m<z = 180°.

Substitution property

What is the converse of “If you have a stomach ache, then you ate too many sweets.”

If you ate too many sweets, then you have a stomach ache.

Write the following statement in if-then form: “An object weighs a ton if it is 2000 pounds.”

If an object is 2000 pounds, then it weighs a ton.

B is the midpoint of segment CE. Prove: <E ≅ <C (6 steps) A B E D Given: <A ≅ <D; B is the midpoint of segment CE. Prove: <E ≅ <C (6 steps)

Statement Reason 1. <A ≅ <D 1. Given 2. B is the midpoint of segment CE 2. Given 3. Segment EB ≅ Segment CB 3. Def. of a midpoint 4. <ABE ≅ <DBC 4. Vertical <s are ≅ 5. ΔABE ≅ ΔDBC 5. AAS 6. <E ≅ <C 6. CPCTC

What geometric construction is shown below?

Perpendicular Bisector

What is the first step in constructing the angle bisector of angle B?

Making Arc DE

Scott is constructing a line perpendicular to line l from point P Scott is constructing a line perpendicular to line l from point P. Which of the following should be his first step?

D

Marsha is using a straightedge and a compass to do the construction shown below. Which best describes the construction Marsha is doing?

Parallel Lines

See Transformations for 100

See Transformations for 200

See Transformations for 300

See Transformations for 400