Matching sides and angles of congruent figures
Grade 8 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Ari slides triangle ABC 8 units left to make A′B′C′ on the grid. Corner A is at (1, 2) and corner B is at (4, 6). How long is side A′B′?
Bo flips triangle ABC over the y-axis to make A′B′C′ on the grid. Corner A is at (1, 1) and corner B is at (7, 9). How long is side A′B′?
Jun flips triangle ABC over the x-axis to make A′B′C′ on the grid. Corner A is at (1, 1) and corner B is at (9, 7). How long is side A′B′?
Kira flips triangle ABC over the y-axis on the grid to make triangle A′B′C′. Which statement must be true?
- Triangle A′B′C′ is bigger than ABC, because it sits farther from the center.
- Side A′B′ is parallel to side AB.
- Side A′B′ is as long as side AB, and angle B′ equals angle B.
- Triangle A′B′C′ is not congruent to ABC, because a flip turns it backward.
Luz turns triangle ABC 90° counterclockwise about the origin on the grid to make triangle A′B′C′. Which statement must be true?
- Triangle A′B′C′ is bigger than ABC, because it turned around the center.
- Side A′B′ is as long as side AB, and angle B′ equals angle B.
- Side A′B′ is parallel to side AB.
- Triangle A′B′C′ is a mirror image of ABC.
Noah flips triangle ABC over the x-axis, then slides it 4 units right on the grid to make triangle A′B′C′. Which statement must be true?
- Triangle A′B′C′ is bigger than ABC, because it ended up farther away.
- Triangle A′B′C′ is not congruent to ABC, because it was flipped over.
- Triangle A′B′C′ is congruent to ABC: every side and angle matches its partner.
- The angles of A′B′C′ are different, because two moves were made.
Pia knows triangle DFG is congruent to triangle STU, with D↔T, F↔U and G↔S. What is x?
Ren knows triangle KLM is congruent to triangle PQR, with K↔R, L↔P and M↔Q. What is x?
Tala knows triangle WXY is congruent to triangle GHJ, with W↔H, X↔J and Y↔G. What is x?
Zee knows triangle BCD is congruent to triangle FGH, with B↔G, C↔H and D↔F. What is x?
