Parallel and Perpendicular Lines

Angles

Quadrilaterals

Transformations

Congruence Statements

Proofs

Anything Goes!

100

Define parallel lines AND perpendicular lines.

Parallel: Lie in the same plane and never intersect.

Perpendicular: Intersect to form RIGHT ANGLES.

100

Congruent means _______.

Supplementary means _______.

Equal

Add up to 180^{o}

100

Find the measure of <A.

*<A = 50*^{o}

100

List the transformations that are also rigid motions.

Translation, rotation, reflection.

Preserve congruence.

100

What side is congruent to side *EG*?

Side *VT*

100

Complete the proof below.

1. Alternate interior angles are congruent

2. Alternate interior angles are congruent

3. Reflexive property

4. ASA

100

What is the rotational symmetry of a regular hexagon?

360/6=60

200

Parallel lines have slopes that are ___________, while perpendicular lines have slopes that are _________.

Equal; Opposite reciprocals.

200

What angles are congruent to <1?

<4, <5, <8

200

Find the measure of <D.

*<D = 130*^{o}

200

Translate the point A(-4, -4) by (x + 3, y + 4).

A'(-1, 0)

200

What angle is congruent to *<FED*?

<RSD

200

Complete the proof listed below.

1. BC ≅ DC

2. AC ≅ EC

3. Vertical angles are congruent.

4. SAS

200

Solve the equation.

4x-3=65

x=17

300

Identify the slope and y-intercept of the following line:

y=-6x-2

m=-6;b=-2

300

Identify the angle relationship.

Alternate exterior angles

300

Solve for x.

x=0

300

If B(3,1) and B'(-4, 5), what is the translation vector?

< -7, 4>

300

Write the six corresponding congruent parts of the triangles shown below.

DE≅DS; EF≅SR; DF≅DR; <DEF≅<DSR; <EFD≅<SRD; <FDE≅RDE

300

Complete the proof listed below.

1. Given

2. AE ≅ EA

3. ASA

300

8/7 +4/3=

52/21

400

Write the equation of a line that passes through the point (-1,3) and is parallel to the line below.

y=-6x-2

Slope of original line: -6

Slope of new line: -6

Plug -6 and the points (-1, 3) into y=mx+b

y=-6x-3

400

Find the value of the missing angle.

113^{o}

400

Find the value of x.

x = 10

400

Reflect the triangle M(2,0), E(3,1), L(-1,2) about the line x= -3.

M'(-8,0); E'(-9,1); L'(-5,2)

400

Label the corresponding congruent sides and angles on the triangles below.

400

Complete the proof below.

1. Given

2. CB || AD

3. <ADC ≅ <CBD

4. Alternate interior angles are congruent

5. BD ≅ DB

6. AAS

400

4/5+1/2+5/4=

51/20

500

Write the equation of a line that passes through the point (12,1) and is perpendicular to the line below.

y=-6x-2

Slope of original line: -6

Slope of new line: 1/6

Plug 1/6 and the points (12, 1) into y=mx+b

y=1/6x-1

500

Find the value of x.

x=-9

500

What property tells us that side *AC* is congruent to itself?

Reflexive property

500

Dilate Z(-1, 0), G(0, 2), E(1, 3), W(-1, -1.5) by a scale factor of 2.5.

Z'(-2.5, 0); G'(0, 5); E'(2.5, 7.5); W'(-2.5, -3.75)

500

Label the corresponding congruent sides and angles on the triangles below.

500

Complete the proof below.

1. RS ≅ UT

2. RT ≅ US

3. Given

4. ST ≅ TS

5. Reflexive property

6. SSS

500

How many squares are there?

14 squares

600

Is the line passing through the points (−4,5) and (1,10) parallel to the line passing through the points (−18,−6) and (−8,4)?

m=1

m=1

Since the slopes of the lines are the same, the lines are parallel.

600

Find the value of x.

x=9

600

Name one characteristic of ALL parallelograms.

- Opposite sides that are parallel.

- Opposite sides are congruent.

- Opposite angles are congruent.

- Consecutive angles are supplementary.

600

Rotate the following points 180° clockwise about the origin: L(1, 3), Z(5, 5), F(4, 2).

L'(−1, −3); Z'(−5, −5); F'(−4, −2)

600

Label the corresponding congruent sides and angles on the triangles below.

600

Complete the proof below.

1. Given

2. AC ≅ EC

3. Given

4. <BCA ≅ DCE

5. Vertical angles are congruent

6. Triangle ABC ≅ Triangle EDC

7. SAS

600

There are five people in a meeting. Every person wants to shake the hands of everyone else in the room once. How many handshakes will occur?

10 handshakes

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