Define parallel lines AND perpendicular lines.
Parallel: Lie in the same plane and never intersect.
Perpendicular: Intersect to form RIGHT ANGLES.
Congruent means _______.
Supplementary means _______.
Equal
Add up to 180o
Find the measure of <A.
<A = 50o
Translation, rotation, reflection.
Preserve congruence.
What side is congruent to side EG?
Side VT
Complete the proof below.
1. Alternate interior angles are congruent
2. Alternate interior angles are congruent
3. Reflexive property
4. ASA
What is the rotational symmetry of a regular hexagon?
360/6=60
Parallel lines have slopes that are ___________, while perpendicular lines have slopes that are _________.
Equal; Opposite reciprocals.
What angles are congruent to <1?
<4, <5, <8
Find the measure of <D.
<D = 130o
Translate the point A(-4, -4) by (x + 3, y + 4).
A'(-1, 0)
What angle is congruent to <FED?
<RSD
Complete the proof listed below.
1. BC ≅ DC
2. AC ≅ EC
3. Vertical angles are congruent.
4. SAS
Solve the equation.
4x-3=65
x=17
Identify the slope and y-intercept of the following line:
y=-6x-2
m=-6;b=-2
Identify the angle relationship.
Alternate exterior angles
Solve for x.
x=0
If B(3,1) and B'(-4, 5), what is the translation vector?
< -7, 4>
Write the six corresponding congruent parts of the triangles shown below.
DE≅DS; EF≅SR; DF≅DR; <DEF≅<DSR; <EFD≅<SRD; <FDE≅RDE
Complete the proof listed below.
1. Given
2. AE ≅ EA
3. ASA
8/7 +4/3=
52/21
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
Find the value of the missing angle.
113o
Find the value of x.
x = 10
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)
Label the corresponding congruent sides and angles on the triangles below.
Complete the proof below.
1. Given
2. CB || AD
3. <ADC ≅ <CBD
4. Alternate interior angles are congruent
5. BD ≅ DB
6. AAS
4/5+1/2+5/4=
51/20
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
Find the value of x.
x=-9
What property tells us that side AC is congruent to itself?
Reflexive property
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)
Label the corresponding congruent sides and angles on the triangles below.
Complete the proof below.
1. RS ≅ UT
2. RT ≅ US
3. Given
4. ST ≅ TS
5. Reflexive property
6. SSS
How many squares are there?
14 squares
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.
Find the value of x.
x=9
Name one characteristic of ALL parallelograms.
- Opposite sides that are parallel.
- Opposite sides are congruent.
- Opposite angles are congruent.
- Consecutive angles are supplementary.
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)
Label the corresponding congruent sides and angles on the triangles below.
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
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