Proving Triangles Similar
What are the three ways to prove triangles similar?
1. Angle-Angle Similarity (AA~)
2. Side-Angle-Side Similarity (SAS~)
3. Side-Side-Side Similarity (SSS~)
What is this transformation?
(x, y) ----> (-x, y)
Reflect over the y-axis
What is (6x-7)+(6x+4)=117
x=10
What shape is a parallelogram?
A parallelogram is a flat shape with opposite sides parallel and equal in length.
Describe a median of a triangle.
A segment with endpoints at the vertex and midpoint of the opposite side.
When is it Side-Side-Side Similarity Theorem?
If the corresponding sides of two triangles are proportional, then the triangles are similar.
A triangle has vertices at R(1,1), S(-2,-4), and T (-3,-3). The triangle is transformed according to the rule RO, 270 °. What are the coordinates of S’
(-4,2)
12x+8+55+8x-3=180
x=6
What are 5 properties of a parallelogram?
Both pairs of opposite sides are parallel.
Both pairs of opposite sides are congruent.
Both pairs of opposite angles are congruent.
Consecutive angles are supplementary.
Diagonals bisect each other.
Describe an altitude of a triangle.
A segment that connects the vertex and the opposite side at 90 degrees.
Complete the similarity statement.
ΔABC ~ ____
ΔZYX
Is this image A'B'C' is a rotation of ABC?
False.
Name the angle relationship.
Alternate Interior
The opposite sides of a parallelogram are congruent. true or false?
true.
Which of the following segments represents a median?
BZ
The triangles are similar by...
AA similarity
If you were to rotate ABCD 270° counterclockwise about the origin, what would the coordinate of C' be?
(-2, 3)
Find C.
∠C=116°
What are parallelograms? triangles, quadrilaterals, hexagons, pentagons?
Quadrilaterals
Which of the following segments represents an altitude?
BX
Solve for x.
6
Find the image of O(-2,1) after two reflections, first across the line y=-5, and then across the line x=1.
(4,-9)
If angle 1 is 135 degrees, how many degrees is angle 3?
135 degrees
The opposite sides and opposite angles of a parallelogram are supplementary, perpendicular, not congruent, congruent?
congruent.
Given AM is the median, which of the following statements is false?
MB=CB