*Double Jeopardy*
This is a comparison of a number a to a nonzero number b using division.
What is a ratio?
When all pairs of corresponding angles are congruent and all pairs of corresponding sides are congruent, then two figures are said to be this.
What is congruent?
*Double Jeopardy*
When all pairs of corresponding angles are congruent and all corresponding side lengths are proportional, then two figures are said to be this.
What is similar?
*Double Jeopardy*
Triangle MOR has sides MO=6 and OR=10. Triangle GHI has sides HI=4 and GH=3. Angle O and angle H are right angles. Are the triangles similar? Explain.
What is no? 6/3 does not equal 10/4.
*Double Jeopardy*
JDRT~JHYX. Angle D = ?
What is angle H?
*Double Jeopardy*
When the new image of a dilated figure is smaller than the original it is called this.
What is a reduction?
Triangles FGH and JKH share point H. Also, JK is parallel to FG. Are the triangles similar? Explain.
What is yes. Two angles are congruent.
*Double Jeopardy*
This is an equation that states that two ratios are equal.
What is a proportion?
AC is the perpendicular bisector of DB. The length of AB is 8x and the length of AD is 5x + 12. This is the length of AD.
What is 32?
*Double Jeopardy*
This is what x is equal to in the proportion: 12/(5x - 3) = 6/11.
What is 5?
*Double Jeopardy*
Triangles ABC and YZX are similar. AB=5, AC=3, XY=4.5, and YZ=x. Find x.
What is 7.5?
triangles that have the same shape, but not necessarily the same size
What are similar triangles?
JDRT~KLMN. ML~_____
What is RD?
Triangle JKL has sides JK=9, JL=12, and KL=15. Triangle PQR has sides PR=1.5, RQ=2, and PQ=2.5. Are the triangles similar? Explain.
What is yes where all sides are proportional?
It is this that if a parallelogram is cut by a diagonal, then the two triangles that are formed have to be congruent.
What is true?
A little boy stands across from a giraffe at the zoo. They are both looking at the same spot on the ground. The spot is 5 ft away from the 5 ft 3 in. boy and is 15 ft from the giraffe. Draw a picture. Are the triangles similar? Explain. If so, find the height of the giraffe.
What is yes by proportion? The giraffe is 15ft 9 in (or 15.75 ft) tall.