Triangle Congruence
Dilations
Triangle Similarity
Proofs and Word Problems
100
Are these triangles congruent? If so, by which congruence postulate?
Yes, SAS congruence postulate
100
What is the scale factor from triangle ABC to triangle YXZ?
4/3 (or 1.33333...)
100
Are the two triangles similar? If so, by which similarity postulate?
Yes, SAS similarity postulate
100
Complete the flowchart to prove the two triangles are congruent.
SSS
200
Are these triangles congruent? If so, give the congruence postulate.
Not congruent (SSA is not a congruence postulate)
200
Fill in the blanks:
A dilation of a figure results in corresponding angles that are ___________,
and corresponding sides that are _____________.
congruent, proportional
200
Are the two triangles similar? If so, justify the similarity postulate.
Yes, AA similarity postulate
200
The tree is 16.5 feet tall.
300
If we know segment KA bisects angle K, are triangles JAK and NAK congruent?
If so, give the congruence postulate.
Yes, SAS Congruence Postulate
300
(-3,1)
300
Suppose △ABC ~ △JKL. What side is proportional to side JL?
Side AC
300
A ramp is built to enable wheel-chair access to a building that is 24 cm above ground level. The ramp has a constant slope of 2 in 15, which means that for every 15 cm horizontally it rises 2 cm. Calculate the length of the base of the ramp.
The ramp is 180 cm long.